Question

The volume of a cylinder of radius r and height h is given by V = π r 2 h. Then the height, in terms of the radius and volume, is given by:

Answer 1

Dec 20, 2014 - The volume V of a right circular cylinder of height h and radius r is V=pr^2h. If the heightis twice the radius, express the volume V as a function of r ... Hi Tammie,. OK so we have the volumeformula. V=(pi)r2h. and we know that h = 2r. so we can replace h with 2r and we get. V = (pi)r2(2r).V=2(pi)r3.

Answer 2

Answer:
`h=(V)/(\pi r^2)`

Explanation:

Given : The volume of a cylinder of radius r and height h is given by:-

`V=\pi r^2 h`, where r is radius and h is height of the cylinder.

To find the formula for height, we divide both sides by
`\pi r^2`, we get

`(V)/(\pi r^2)=h\\\\\Rightarrow\ h=(V)/(\pi r^2)`

Hence, the formula for height (h) in terms of the radius and volume, is given by:

`h=(V)/(\pi r^2)`