Question

Question 3Using your algebra skills, how can you rearrange the formula for the volume of a cone, V = } x #r2 h, to find an expression for radius r whenyou're given h and V? Remember to perform the same operations on both sides of the equation.

Answer 1

We start from the equation of the volume of the cone:

`V=(1)/(3)\pi r^2h`

We can re-arrange for r as:

`\begin{gathered} V=(1)/(3)\pi r^2h \\ 3V=\pi r^2h \\ (3V)/(\pi h)=r^2 \\ r=\sqrt[]{(3V)/(\pi h)} \end{gathered}`