find the height of a right cylinder with surface area 160pie square units and radius 5 units

Answers

Answer 1

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = [tex]160\pi[/tex]

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

[tex]A=2\pi rh+2\pi r^2[/tex]

Where, r is radius and h is the height of the cylinder.

Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get

[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]

[tex]160\pi =10\pi h+2\pi (25)[/tex]

[tex]160\pi =10\pi h+50\pi [/tex]

Subtract [tex]50\pi[/tex] from both sides.

[tex]160\pi -50\pi=10\pi h [/tex]

[tex]110\pi=10\pi h [/tex]

Divide both sides by [tex]10\pi[/tex].

[tex]\dfrac{110\pi}{10\pi}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cylinder is 11 units.


Related Questions

Help me please and no links

Answers

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?

Answers

Answer:

Step-by-step explanation:

Step 1

Find the fraction of the money he gave the charity

Let the total amount he had = 1

Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.

Fraction of money he gave to charity =

1 - (4/5 + 3/4 + 2/3)

He gives the remaning $50,000 to a charity. How much did he win?

Given m||n, find the value of x.

(7x-4)
(3x+28)º

Answers

Answer:

8

Step-by-step explanation:

7 x 8 = 56 56 - 4 = 52.

3 x 8 = 24 24 + 28 = 52

49×7³×100. -----------------. 10³×3³×7²​

Answers

Check the answer as attachment.

Please mark me brainliest

. A study was conducted to evaluate the relationship between artificial sweeteners and bladder cancer. 3,000 cases and 3,000 controls were enrolled in the study. Among the cases, 1293 had used artificial sweeteners in the past, while 1707 had never used artificial sweeteners. Of the controls, 855 had used sweeteners and 2145 had not. a. What is the exposure and what is the disease

Answers

Answer:

Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.

The disease is bladder cancer.

Explanation:

Calculate odds for exposed group =

1293 with bladder cancer had used artificial sweeteners in the past/

855 without bladder cancer had used sweeteners= 1.51

Calculate odds for not exposed group=

1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795

Odds ratio=odds for exposed group/odds for not exposed group

= 1.51/0.795

= 1.899

Therefore exposed group has two times the odds of bladder cancer than not exposed group.

What is the force on the surface of a square of side 5 m if the pressure acting on it is 25 pascal ?

Answers

Answer:

625 N

Step-by-step explanation:

First, find the area of the square.

Area = side x side

        = 5 x 5

        = 25 m²

Force = pressure x area

          = 25 x 25

          = 625 N

Hope this helps!

If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order

Answers

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

which equation has x=4 as the solution

Answers

(1) step by step below

What is the volume of a cube with a side length of 3tunits?
Cube V = 93

Answers

Answer:

The volume 27.

The volume of a cube:

Volume = side³

The volume of a cube with side 3 units is 27 cubic units.

What is a cube?

It is a polygon having six faces.

The volume of a cube:

Volume = side³

Example:

The volume of a cub with a side length of 2 cm is 8 cubic cm.

We have,

Side = 3 units

Volume = Side³

Volume:

= 3³

= 3 x 3 x 3

= 27 cubic units

Thus,

The volume of a cube with side 3 units is 27 cubic units.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ2

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.

Answers

The open circle of the positive 9 at 3 x+2

What two numbers sum up to 11 and multiply to 18

Answers

Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

Please help me solve my problem!!!

Answers

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

Which interval or union of intervals represents the values for which ​f(x)​ is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

Farah spent $13 on 4 items from the
snack stand at the airport. The
snack stand charges $7 per
sandwiches and $2 per bags of
snack mix. It she purchased a
combination of sandwiches and
snack mix bags, how many of each
food item did Farah purchase?

Answers

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?​

Answers

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

find the measures of x and y. I NEED THIS NOWW

Answers

Answer:

Solution given:

x+x+24°=90[being complementary angle]

2x=90-24

x=66/2

x=33

again

2x=3y[vertically opposite angle]

y=2*33/3

y=22

Answer:

2x +24 =90

2x =90-24

2x =66

x =33

CAK=24

2X=3Y

3Y=2×33

3Y=66

Y. =22

which point lies in the solution set of the inequality 1/2(x+2)+3y<8?

Answers

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

lisa had wood that was 12 1/2 feet long. she cut it into 5 pieces that are equal in leangth.how long is each piece of wood?

Answers

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Find the surface area of the figure using its net

Answers

84 m^2

The three rectangles are 12m wide and 6 high. Area = 72 m^2

There are two triangle ends. Area = 2 x (1/2 x 3 x 4) = 12 m^2

Total surface area of prism = 72 + 12 = 84 m^2

I don’t wanna get wrong

Answers

Answer:

I think the answer is yes

Multiply x by 12 to get y

Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?

Answers

Answer:

1/2 chance

Step-by-step explanation:

5 and 10 can be divided down to 1/2

Find the missing side. Round to the nearest tenth. X=?

Answers

Answer:

x = 12.2

Step-by-step explanation:

to solve for 'x', we can use the sine ratio of opposite/hypotenuse

we need to find the angle opposite side 'x', which can be found by:

180-(44+90) = 46

sin46° = x/17

x = 17·sin46°

x = 12.2

i think of a number, multiply it by 3, add 4 and square the answer​

Answers

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

Without computing, select all of the expressions that have the same value as
74 · (29 + 56).
A. 74 · 29 + 56
B.74 + (29 + 56)
C. 74 + (56 · 29)
D. (74 · 29) + (74 • 56)
E. (56 +29) · 74

Answers

Answer:

The answer I'd the option D

Divide (16m³-10m²+2m)÷2m​

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅

Step-by-step explanation:

[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4

Answers

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?

Answers

Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

Jaideep changes $12 000 into euros (€) to buy land in another country.

The exchange rate is €1 = $1.33.

Calculate the number of euros Jaideep receives.

A farmer sold food grains for 9200 rupees through an agent. The rate of commission

was 2%. How much amount did the agent get?

The price of a machine depreciates at 10% every year. If the present value of the

machine be Rs.100000, what will be its value after 3 years?


Lucinda invests $500 at a rate of 5% per year simple interest.

Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK​

Answers

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4

Answers

Answer:

1:2.25

12/12 = 1

27/12 = 2.25

Hope this helps!

f(x) = xWhat is g(x)?

Answers

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it

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