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:

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.

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JeanaShupp JeanaShupp · Answer 2 · 2019-10-04T17:16:15+02:00

Answer: [tex]h=\dfrac{V}{\pi r^2}[/tex]

Step-by-step explanation:

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

[tex]V=\pi r^2 h[/tex], where r is radius and h is height of the cylinder.

To find the formula for height, we divide both sides by [tex]\pi r^2[/tex], we get

[tex]\dfrac{V}{\pi r^2}=h\\\\\Rightarrow\ h=\dfrac{V}{\pi r^2}[/tex]

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

[tex]h=\dfrac{V}{\pi r^2}[/tex]