Question

The formula for the volume of a cylinder is vrhSolve v - for h, the height of the cylinder.

Answer 1

The formula for the volume of the cylinder is given by:

$V=\pi(r^2h)$

Divide the left and the right hand side by pi and the square of r to get:

$\begin{gathered} \frac{V}{\pi(r^2)}=\frac{\pi(r^2h)}{\pi(r^2)} \\ \frac{V}{\pi(r^2)}=h \end{gathered}$

Therefore the height can be written as:

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

Option D is correct.