A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.


Determine the approximate volume of the solid. Use 3.14 for pi. cm3

A Cylinder With 1/4 Of A Section Removed Has A Radius Of 4 Cm For The Base And A Height Of 10 Cm. Determine

Answers

Answer 1

Answer:

Volume of the solid is 377 cm³.

Step-by-step explanation:

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here, r = radius of the cylinder

h = Height of the cylinder

By substituting the values in the formula, (r = 4 cm and h = 10 cm)

Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]

                                      = 160π

Since one fourth of the cylinder is removed,

Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]

                                                        = 160π - 40π

                                                        = 120π

                                                        = 120(3.14)

                                                        = 376.8 cm³

                                                        ≈ 377 cm³

Volume of the solid is 377 cm³.


Related Questions

pls answer this question correctly pls .

Answers

Answer:

Step-by-step explanation:

Fraction              Decimal                Percentage

  [tex]\frac{19}{100}[/tex]                      [tex]0.19[/tex]                           [tex]19 \%[/tex]

  [tex]\frac{3}{10}[/tex]                        [tex]0.3[/tex]                            [tex]3 0\%[/tex]

  [tex]\frac{49}{100}[/tex]                      [tex]0.49[/tex]                           [tex]49 \%[/tex]

  [tex]\frac{7}{100}[/tex]                      [tex]0.07[/tex]                            [tex]7 \%[/tex]

Answer:

First row: 19%

Decimal for 3/10: 0.3

Fraction for 0.49: 49/100

Percentage for 0.49: 49%

Decimal for 7/100: 0.07

Fraction for 7/100: 7&

Also 3% should be 30%. Just to point that out :)

maths help pls.......​

Answers

Answer: (C) 308 cm^2

Step-by-step explanation: Flat surface area is the surface area that is not curved; in this case, it would be the two circular bases. The height is arbitrary as the height is not needed to calculate the area of the bases. The formula for the area of circular bases is πr^2. Let's plug the given values into the formula. (22/7)(7)^2=(22/7)(49)=154. 154 cm^2 is the area of one base. To find the area of both bases, simply multiply the area of one base by two. 154*2 is 308, therefore the answer is (C) 308 cm^2.

Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3

Answers

It would be y=x+3 because you have a slope of 1 and a y-intercept at 3

Answer:

i think it would be y=x+3

Step-by-step explanation:

What is the value of x in the diagram?

Answers

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]

Since x is the measurement of a side, it can't be negative. Therefore x = 30

WILL MARK BRAINLIST!!​

Answers

Answer:

24 units

Step-by-step explanation:

Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.

24 units

////////////

660 g of 3 kg
Express as percentage
please tell how the answer is 22%..
:(

Answers

Answer:

Percent * base = Amount

660 g = 660 g

3kg = 3000g

percent(3000) = 660

percent = 660/3000

percent = .22

.22 = 22%

Step-by-step explanation:

find the volume of the rectangle

Answers

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

What is v6/v5 in simplest radical form?

Answers

Answer: [tex]\sqrt{30}/5[/tex]

Step-by-step explanation:

You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the [tex]\sqrt{5}[/tex].

Look at the image below for further explanation

Which is the graph of g(x) = [x+3]?

Answers

i’m pretty sure it’s the one on the bottom

Given that HCF (306,657) = 9, find LCM (306,657)​

Answers

306 = 9 x 34
657 = 9 x 73
LCM(306,657) = 9 x 34 x 73 = 22338

In general the LCM(a, b) = ab / HCF(a, b)

Answer:

The LCM of 306 and 657 is 22338

Step-by-step explanation:

We know that

HCF (a, b) × LCM (a, b) = a × b

⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657

⇒ 9 × LCM = 306 × 657

⇒ LCM (306, 657) = 306 × 657 / 9

                              =  201042 / 9

∴ LCM = 22338

Thus, the LCM of 306 and 657 is 22338.

Convert to polar form

Answers

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

Rearrange the formula to make x the subject.

y = x -5

Answers

Answer:

[tex]x=y+5[/tex]

Step-by-step explanation:

[tex]y=x-5[/tex]

[tex]y+5=x[/tex]

[tex]x=y+5[/tex]

Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) - √7

Answers

Answer:

[tex]A \approx 1.488[/tex]

Step-by-step explanation:

Por definición de razones trigonométricas, tenemos las siguientes identidades:

[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)

Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].

De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:

[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]

[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]

[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]

[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]

Por último, calculemos [tex]A[/tex]:

[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]

[tex]A \approx 1.488[/tex]

A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange paint every day. How many litres of yellow paint does the factory use every day?

Answers

Answer:

2700÷9=300

300×2=600liters yellow paint

CAN SOMEONE PLEASE HELP ME REAL QUICK ILL GIVE BRAINLIEST! :P

A cube-shaped box has a volume
of 95 cm. Which equation would
you use to determine the length
of one edge, E, of the box?

Answers

Answer:

v= 4.562902635

v =l*w*h

in a cube all are the  same

V=x^3

v =  [tex]\sqrt[3]{95}[/tex]

v=  [tex](95)^{1/3}[/tex]

Step-by-step explanation:

what is the answer for x⁵÷x⁸

Answers

answer:

the answer is 40 because any expression divides itself is equals to 1

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{x^3}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

expression of three power of five rational number with a negative exponent is?
answer with step by step explanation​

Answers

Answer:

[tex]\frac{1}{243}\\[/tex]

Step-by-step explanation:

The expression of three power of five rational number with a negative exponent is;

Find the trigonometric ratio. Write your answer as a fraction in the simplest form

Answers

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

Learn more about trigonometry here:

https://brainly.com/question/14746686

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Please help me solve my problem!!!

Answers

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

Chris had 3/4 of a jug of milk left. He used 2/5 of it to bake a cake how much of the jug of milk did he use in his cake

Answers

Answer:

5 pints of milk

Step-by-step explanation:

took the test

A grocer noticed that customers buy both pet and baby supplies with a probability of 0.12. Considered separately, the probability that

customer buys pet supplies is P(A) = 0.64, and the probability that a customer buys baby supplies is P(B) = 0.25.

Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet

supplies or baby supplies.

Answers

Answer:

0.77

Step-by-step explanation:

Given that:

P(A) = 0.64

P(B) = 0.25

P(AnB) = 0.12

Probability that customer buys either pet or baby supplies ; P(AuB)

P(AuB) = P(A) + p(B) - p(Ann)

P(AuB) = 0.64 + 0.25 - 0.12

P(AuB) = 0.77

PLEASE HELP Assume the line of best fit for a data set is given by y = 32x+ 25. What data
points are predicted by the line of best fit? Check all that apply.
A. (9,326)
B. (10,345)
C. (7,224)
D. (6,217)

Answers

Answer:

B

Step-by-step explanation:

the answer is B

If you substitute 10 in the equation

32(9)+25=345

Answer:

B and D

Step-by-step explanation:

Substitute the values in y = 32x+ 25

A. 9, 326

326=32(9)+25

326 don't equal to 315

A is not

B. 10, 345

345=32(10)+25

345=345

B is a point on the line of best fit.

C. (7,224)

244= 32(7)+ 25

244 don't equal to 249

D. (6,217)

217= 32(6)+ 25

217=217

D is a point on the line of best fit.

Brainliest please

Find the odd one out, and explain why
26..325..226..49..50
a) 325
b) 226
c) 50
d) 49

Answers

Answer:

B.226

Step-by-step explanation:

I HOPE ITS HELP PO

Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.

Answers

You would need to know the rate at which Jeremy climbs to determine your answer.

Answer: no Jeremys time is not constraint

Step-by-step explanation: The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes, however if you divide 950 with 2 you will get 475 minutes to climb, if we also convert to 475 into hours that will be  7.92 hours . so overall he will climb extra 92 minutes  (i really hope this kinda helped)

If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?


Answers

Answer:

36,738

Step-by-step explanation:

The first step is to calculate the radius

= 60/2

= 30

Therefore the volume can be calculated as follows

= πr^2h

= 3.142 × 30^2 × 13

= 3.14× 900×13

= 36,738 cubit feet

Hence the volume of the grain pile is 36,738 cubic feet

PLEASE HELP ASAP ILL MARK BRAINLIEST.!!!

i only need these 2 and I’m done with math.!!!

Answers

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =  

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in  gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

       3 m = 300 cm

       2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers


Which answer can be used to find the solution to the system of equations?

Answers

Answer: is b

Step-by-step explanation:

The expression x^2 - 10x + 24 is equivalent to

Answers

Answer:

[tex](x−6)(x−4)[/tex]

Step-by-step explanation:

[tex]x^2 - 10x + 24[/tex]

[tex] {x}^{2} −6x−4x+24[/tex]

[tex]x(x−6)−4(x−6)[/tex]

[tex](x−6)(x−4)[/tex]

Hope it is helpful...

Answer:

(x - 4 )(x - 6 )

Step-by-step explanation:

[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]

What else would need to be congruent to show that ABC= DEF by ASA?
B
E
10
10
45
A
с
45
F
O A. ZBE ZE
B. AC = DF
C. ZA ZD
O D. BC = EF

Answers

Answer:

Option A

then you would have an angle, a side and another angle (ASA) next to each other

Opt.B would be a second sude (SAS)

Opt.C is already given

Opt.D seems to be like (A-S-S). no pun intended.

The additional information need to be added to show the given triangles congruent is angle B = angle E

What are congruent triangles?

Triangles are said to be congruent if their corresponding sides and angles are congruent.

Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,

We need to find one more reason to make them congruent by ASA rule,

In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,

Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.

Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E

Learn more about triangles congruent click;

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decide which point lies on the line that is parallel to AB and passes through point P

Answers

the answer is B because PG is parallel to AB
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