The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

Question

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The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

olve the formula for h.
Choose the correct formula.

A. h=Vπr2

B. h=Vπr2

C. h=Vr2π

D. h=Vπr2

Part B

Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.

h = __ cm

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-02-19T09:38:04+03:00

Answer:

Part A) $h=V/(\pi r^{2})$

Part B) $h=4\ cm$

Step-by-step explanation:

Part A)

We start with the formula for the cylinder's volume:

$V=\pi r^{2}h$

To solve for height (h), isolate h on one side.

Divide both sides by π times r squared (πr²):

$V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})$

Simplify the expression:

$V/(\pi r^{2})=h$

Rewrite the formula accordingly:

$h=V/(\pi r^{2})$

Part B) Calculate the height of a cylinder with a volume of 36π cm³ and a radius of 3 cm.

Given:

$V=36\pi\ cm^3$

$r=3\ cm$

Plug values into the formula and solve for h:

$h=36\pi/(\pi 3^{2})$

$h=4\ cm$