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} (V)/(\pi(r^2))=(\pi(r^2h))/(\pi(r^2)) \\ (V)/(\pi(r^2))=h \end{gathered}`

Therefore the height can be written as:

`h=(V)/(\pi(r^2))`

Option D is correct.