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