Answer:
\(h=\frac{V}{\pi r^2}\)
Step-by-step explanation:
Since, the volume of a cylinder,
\(V=\pi (r)^2 h----(1)\)
Where, r is the radius of the cylinder,
And, h is its height,
Divide both sides of equation (1) by \(\pi r^2\),
\(\frac{V}{\pi r^2}=\frac{\pi (r)^2 h}{\pi (r)^2 }\)
\(\implies \frac{V}{\pi r^2}=h\)
Hence, the required formula for finding the height, h of a cylinder when r and V is given,
\(h=\frac{V}{\pi r^2}\)
