The volume of a cylinder can be calculated using the formula V=π·r^2h, where r is the radius of the base, and h is the height of the cylinder. Express the variable r in terms of V and h.

Verified Answer :

\(
V=\pi r^2h\\\\
\pi r^2h=V\\\\
r^2=\dfrac{V}{\pi h}\\\\
\boxed{r=\sqrt{\dfrac{V}{\pi h}}}
\)

We can express the variable 'r' in terms of 'V' and 'h'  and comes out to be \(r=\sqrt{\frac{V}{\pi h} }\).

It is given that

The volume of a cylinder is \(\pi r^{2} h\)

where

r is radius

h is height

What is a cylinder?

A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface.

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

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

\(r=\sqrt{\frac{V}{\pi h} }\)

Therefore, we can express the variable r in terms of 'V' and 'h'. It comes out to be \(r=\sqrt{\frac{V}{\pi h} }\).

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