Question

The volume of this cylinder is 200.96 cubic centimeters. What is the height?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

h ≈ centimeters

Answer 1

h = 4 centimeters

Explanation:

The formula of a volume of a cylinder:

`V=\pi r^2h`

r - radius

h - height

We have the volume V = 200.96 cm³, and the radius r = 4 cm.

Substiute:

`\pi(4^2)(h)=200.96`

`16\pi h=200.96` use π ≈ 3.14

`(16)(3.14)h=200.96`

`50.24h=200.96` divide both sides by 50.24

`h=4\ cm`

Answer 2

4 cm

Explanation:

volume of cylinder = (pi)r^2h

where pi = 3.14, r = radius of the base, h = height of the cylinder

volume = (pi)(r^2)(h) = 200.96 cm^3

Replace every variable with a given value.

pi = 3.14; 4 = 4 cm

(pi)(r^2)(h) = 200.96 cm^3

(3.14)(4 cm)^2(h) = 200.96 cm^3

3.14 * 16 cm^2 * h = 200.96 cm^3

50.24 cm^2 * h = 200.96 cm^3

Divide both sides by 50.24 cm^2.

h = (200.96 cm^3)/(50.24 cm^2)

h = 4 cm