6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)

7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.

Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌

Correct answer + with explanation will be chosen as the Brainliest Answer ✅​​​​​

Answers

Answer 1

Answer:

4,895 containers

Step-by-step explanation:

The number of the wooden closed cylinders to be painted, n = 200

The diameter of each cylinder, d = 35 mm = 3.5 cm

The height of each cylinder, h = 7 cm

The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h

Where, π = 3.142, we get;

A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375

The surface area of each cylinder, A = 96.22375 cm²

The total surface area, [tex]A_T[/tex] = n × A

∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75

The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²

7. The base diameter of the tank, d₁ = 2.4 m = 240 cm

The height of the tank, h₁ = 6.4 m = 640 cm

The base radius of each cylinder container, r = 8.2 cm

The height of each cylindrical container, h₂ = 28 cm

The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;

n = (The volume of the tank)/(The volume of a cylinder)

The volume of the tank, V₁ = π·(d²/4)·h₁

∴ V₁ = π × (240²/4) × 640 = 9216000·π

The volume of the tank, V₁ = 9216000·π cm²

The volume of a cylinder, V₂ = π·r²·h₂

∴ V₂ = π × 8.2² × 28 = 1,882.72·π

The volume of a cylinder, V₂ = 1,882.72·π cm²

The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045

Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers

Answer 2

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:


Related Questions

What is 7 3/8 rounded to the nearest whole number?

Answers

Answer:

7

Step-by-step explanation:

4/8 = 1/2

3/8 is less than 1/2 so round down

7 3/8 rounds to 7

Answer:

7

Step-by-step explanation:

7 3/8 = 7.375

The closest whole number is 7

Answer from Gauthmath

Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?

Answers

How long, to the nearest day, until it is safe to swim again will be 156 days

Let x represent number of day until it is safe to swim again

First step

=2000 *1/2^x

100=2000 *0.5^x

0.05=0.5^x

Second step

Log 0.05=xLog 0.5

Log 0.05/L0g 0.5=x

x=36 days* Log 0.05/L0g 0.5

x=36 days*43.22

x=156 days

Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days

Learn more about  radioactive element here:

https://brainly.com/question/13812761

What is the value of m in the diagram?

Answers

Answer:

81

Step-by-step explanation:

The angles shown are formed on a straight line

Angles formed on a straight line add up to 180

So m + m + 18 = 180

We've just created an equation that we can use to solve for m

So we can now solve for m

m + m + 18 = 180

Combine like terms

2m + 18 = 180

Subtract 18 from both sides

2m + 18 - 18 = 180 - 18

2m = 162

Divide both sides by 2

2m/2 = 162/2

m = 81

What is the decimal eqivalent for a meter?

Answers

Answer:

One meter = 10 decimeters   =    100 centimeters     =    0.001 kilometers    =    3.2808399 feet    =    1.0936133 yard    =    0.000621371192 mile    =   39.3700787 inches

Step-by-step explanation:

PLZ HELP!!!
Find the range of the following piecewise function.

Answers

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

PLEASEEEE HELLLLP MEEEE

Answers

Answer:

c. 20/21

Step-by-step explanation:

You just multiply straight

3×7 = 21

4×5 =20

21/20 <---- and it can't be reduced farther than this.

Answer:

C. ²¹⁄₂₀

Step-by-step explanation:

OKOKOK DON'T WORRY I'M HERE :)))

--

When multiplying fractions, you multiply the numerators together and then multiply the denominators together.

The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).

The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).

Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.

Hope this helped!!

Function expressed by the formula y=-0.5x. Is there a value of x for which
y=-150? If there is such a value, compute it.

Answers

Answer:

x=300

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

−150=−0.5x

Divide both sides by −0.5.

−0.5

−150

=x

Expand  

−0.5

−150

 by multiplying both numerator and the denominator by 10.

−5

−1500

=x

Divide −1500 by −5 to get 300.

300=x

Swap sides so that all variable terms are on the left hand side.

x=300

Hope this helped!

Question 4 (Essay Worth 10 points)

(05.06 MC)

The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:

A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.

Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)

Source
StylesFormat

Answers

The motion of the ant is a nonlinear graph;

It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.

THE TYPE OF GRAPH

The graph has 3 different straight lines, all of which point to different directions.

For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.

THE SEGMENTS OF THE GRAPH

The increasing segment of the graph is the segment that points in the upward direction.

In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.

The decreasing segment of the graph is the segment that points in the downward direction.

In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.

The constant segment of the graph is the segment that is represented by a horizontal line

In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.

THE MOTION OF THE GRAPH

The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.

Learn more about graphs at:

https://brainly.com/question/9348683

Answer: got 100% on test

Step-by-step explanation:

 Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.

Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.

Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.

if g(x) is x-3 then what is g(3x)

Answers

Answer:  3x-3

Work Shown:

g(x) = x-3

g(3x) = 3x-3

We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.

Answer:

Step-by-step explanation:

The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.

g(3x) = 3x - 3 is the correct answer.

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

B, pi

Step-by-step explanation:

The sine wave shown above has two waves until it reaches 2 pi, making the period of the sine graph 2pi divided by the two waves, making the answer pi.

if R=[2 3 4] what is the number of element in
2 4 5
the matrix R?​

Answers

Answer:

5

Step-by-step explanation:

May be correct than follow me please

Find all solution(s) of the quadratic equation x2 – 100 = 0. Question 9 options: A) x = 10, –10 B) x = –10 C) x = 10 D) x = 100, –100

Answers

Answer:

x = - 10, x = 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

solutions are x = - 10, x = 10

Help plz and thanks

Answers

I’d say -5 degrees Celsius

Can anyone do this dont mind the 15x because i done it wrong

Answers

I think:
It would be 90 degrees because of the box in the corner

Which steps can be used to solve
6
X
1 7
2 8
for x?

Answers

Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.

Given 4,7,10,13. Calculate the 20th term.​

Answers

Answer:

61

Step-by-step explanation:

to calculate the 20th term you use the formula

Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:

Tn=4+(20-1)3

=4+19×3

=4+57

=61

the 20th term is 61

I hope this helps

Myles has calculated that 1/2 a box of tile will cover 1/6 of his kitchen floor. How many boxes of tile will he need to cover the entire kitchen?

Answers

Answer: He need 3 boxes.

Step-by-step explanation:

Every 1/6 of his floor needs 1/2 of the tile box.

Split his floor into 6 parts, each part needing 1/2 of the tile box:

[tex]6*\frac{1}{2} =\frac{6}{2} =3[/tex]

Or you can add 1/2 six times for each 1/6 of the floor:

[tex]\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} =\frac{6}{2}=3[/tex]

need help with this!!

Answers

It’s a conjunction.

PLZZ HELP !!!

If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)

- range of f(x) is the same as the domain of g(x)

-domain of f(x) is the same as the domain of g(x)

-domain of f(x) is the same as the range of g(x)

- range of f(x) is the same as the range of g(x)

Answers

The range and domain of f is the opposite one for g.
Meaning that range of f(x) is the domain for g(x) and the same goes for the domain of f(x) matching range of g(x).

Find the surface area of the composite figure

Answers

Answer:

470

Step-by-step explanation:

2(7×2+2×2+2×7)+2(12×7+7×7+12×7)-2(7×2)

= 64+434-28

= 470 cm²

Luis dispone de una cantidad de dinero de 25,000 RD$ para ponerlos en el banco a plazo fijo con un interés de un 1.7% al cabo de 8 meses, ¿Cuánto dinero posee Luis si no ha gastado nada? *

Answers

Answer:

Luis's balance = $25,283.33

Step-by-step explanation:

Given the following data;

Principal = $25,000Interest rate, R = 1.7 %Time = 8 months

To find how much money Luis will have;

First of all, we would have to convert the value of time in months to a year.

Conversion:

12 months = 1 year

8 months = X year

Cross-multiplying, we have;

12 * X = 8

X = 8/12

X = 2/3 years

To find the simple interest, we would use the formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.

Substituting the values into the formula, we have;

[tex] S.I = \frac {25,000 * 1.7 * \frac {2}{3}}{100} [/tex]

[tex] S.I = \frac {28333.33}{100} [/tex]

S.I = $283.33

Luis's balance = S.I + Principal

Luis's balance = 283.33 + 25000

Luis's balance = $25,283.33

An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling

Answers

Both? or just the westbound?

the range of the function y=secx-2 is all reals except

-1 1 -3 -2

Answers

Answer:

For a function y = f(x), the range is the set of all the possible values of y.

In the question you wrote:

y = secx - 2

This can be interpreted as:

y = sec(x - 2)

or

y = sec(x) - 2

So let's see each case (these are kinda the same)

If the function is:

y = sec(x - 2)

Firs remember that:

sec(x) = 1/cos(x)

then we can rewrite:

y = 1/cos(x - 2)

notice that the function cos(x) has the range -1 ≤ y ≤ 1

Then for the two extremes we have:

y = 1/1 = 1

y = 1/-1 = -1

Notice that for:

y = 1/cos(x - 2)

y can never be in the range  -1 < x < 1

As the denominator cant be larger, in absolute value, than 1.

Then we can conclude that the range is all reals except the interval:

-1 < y < 1

If instead the function was:

y = sec(x) - 2

y = 1/cos(x) - 2

Then with the same reasoning, the range will be the set of all real values except:

-1 - 2 < y < 1 - 2

-3 < y < -1

evaluate without multiplying directly 998³ x 103³​
Answer correctly I will mark them as brainlist

Answers

Answer:

1,086,183,741,982,184

Step-by-step explanation:

998^3

 = (1,000)^3 - (2)^3 - 3 · 1,000 · 2 (1000 - 2)

 = 1,000,000,000 - 8 - 6,000 (998)

 = 999,999,992 - 5,988,000

 = 994,011,992

103^3

 = (100 + 3)^3

 = (100)^3 + (3)^3 + 3(100) (3) + (100+3)

 = 1,000,000 + 27 + 900(103)

 = 1,000,027 + 92,700

 = 1,092,727

994,011,992 · 1,092,727

 = 994,011,992 · (1,000,000 + 90,000 + 2,000 + 700 + 20 + 7)

 = (994,011,992 · 1,000,000) + (994,011,992 · 90,000) + (994,011,992 · 2,000) + (994,011,992 · 700) + (994,011,992 · 20) + (994,011,992 · 7)

= 994,011,992,000,000 + 89,461,079,280,000 + 1,988,023,984,000 + 695,808,394,400 + 19,880,239,840 + 6,958,083,944

 = 1,086,183,741,982,184

What is the probability that you roll at least one 3 in your dice? Convert your answer to
decimal form, then round to 3 decimal places,

Answers

Answer:

0.167

Step-by-step explanation:

1 dice has 6 faces, 2 dice will have a total of 12 faces

1 dice has 1 face with a 3 on it, so 2 dices will have 2 total 3s on them.

2 /12 = 1/6 = 0.16666666666

Rounded to 3 d.p = 0.16666

= 0.167

Answered by Gauthmath

Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.​

Answers

Slope = -6
Y-intercept = (0,11)
X Y
0 11
1 5

∣x−18∣=5 absolute value

Answers

Answer

x = 13 or x = 23

Step-by-step explanation:

|x-18| = 5 means there are two possibilities.

x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.

so you can write two equations and solve

first is x-18 = 5

x-18 + 18 = 5 + 18

x = 23

the second is x - 18 = -5

x - 18 + 18 = -5 + 18

x = 13

The two solutions are 13 and 23.

TIME REMAINING
53:07
Solve for w.

5w + 9z = 2z + 3w

w = w equals negative StartFraction 7 Over 2 EndFraction z.z
w = w equals negative StartFraction 2 Over 7 EndFraction z.z
w = –2z
w = –7z

Answers

Answer:

w=-7/2z

Step-by-step explanation:

to solve for w you firstly have to group the like terms

5w-3w=2z-9z

2w=-7z

then you have to divide both sides by 2 inorder to remain with w on one side.

2w/2=-7/2

w=-7/2

I hope this helps

Answer:

A. w = (-7/2)z or w equals negative StartFraction 7 Over 2 EndFraction z

Step-by-step explanation:

5w + 9z = 2z + 3w5w - 3w = 2z - 9z2w = - 7zw = (-7/2)z

Correct choice is A

Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed
to make 125 tonnes of concrete?

Answers

Answer:

98.7 tonnes of sand.

Step-by-step explanation:

First find the total :

3 + 1 + 15 = 19

if 19 = 125 tonnes,

what about 15 = ?

(cross multiply)

[tex] \frac{15}{19} \times 125[/tex]

= 1875 ÷ 19

= 98.68

(rounded off to 1 decimal place)

= 98.7 tonnes of sand.

If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.

Answers

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) [tex]2x-11=x+7[/tex]

2) [tex]x-11=7[/tex]

3)[tex]x=18[/tex]

Other Questions
is a promise of pledge.Fear of the unknownCognitionCommitmentEmotional maturity A good way to measure your power is What is a differential in cars and what does it do? Simplify the expression The bowling alley and the swimming pool both offer birthday party rentals the bowling alley coast $5 per person plus a $15 room rental fee. The swimming pool costs $4 per person plus a $12 room rental fee.you have $40 at which location can you invite more people Which of the following statements about proto-oncogenes is false? - Proto-oncogenes are normal genes with the potential to become oncogenes. A mutation must occur in a cell's DNA for a proto-oncogene to become an oncogene. Many proto-oncogenes code for growth factors. If a proto-oncogene's gene product is produced in smaller quantities, a cell may become cancerous. How many ways are there to choose three distinct integers between 1 and 20 inclusive such that the numbers form an arithmetic sequence?*please try to answer by tomorrow/ What mass of precipitate (in g) is formed when 250.0 mL of 0.150 M CuCl is mixed with excess KOH in the following chemical reaction?CuCl(aq) + 2 KOH(aq) Cu(OH)(s) + 2 KCl(aq) Can someone please help me out Its really Important please marking brainliest Which of the following statements is untrue? Group of answer choices Denotative meaning involves thoughts and feelings associated with words. Language is governed by rules. Not all linguistic symbols are spoken or written words. Denotative meanings are formally recognized definitions of a term. what expressions are equivalent to 5+(-3)(6x-5) HELP ME ASAP!!!two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles? most expensive startup option is usually A. starting a business from scratch B. buying a franchise C. buying an established business D. renting a building A certain bell rings every 60 minutes. Another Bell rings every 90 minutes. Both bells begin ringing at midnight (12:00 a.m). How many more times will both bells ring by 1 p.m Select the correctly punctuated sentence. A. Dr. Winston, who teaches algebra at the university, volunteers at the shelter every weekend. B. Dr. Winston, who teaches algebra at the university volunteers at the shelter every weekend. C. Dr. Winston who teaches algebra at the university volunteers at the shelter every weekend. Diamonds a. are exceedingly rare, which is why their price is so high. b. are brought from the mantle to the surface in magma that hardens into kimberlite. c. are found in carrot-shaped structures called pegmatites. d. of industrial quality (non-gem quality) have no use and are usually discarded. quadratics formula 4x^2+3x-1=0 PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!A sample of 1000 U.S. pediatricians is taken to collect data on medicines used to treat children. The population in this study is ___________________.A. all U.S. pediatriciansB. the children who are taking medicineC. the medicine used to treat childrenD. the 1000 pediatricians Please help quick! Ill mark Brainliest Please help ill give BRAINLIST Select the two correct answers.Building codes are a form of government regulation. How might building codes impact business ownership?Building codes may determine the price points of goods sold by the business.Building codes may determine who can own the business.Building codes may determine where the business can be located.Building codes may determine what goods can be sold by a business at a given location.