Question

How to calculate the radius of a cylinder?

Answer 1

Finding the radius of the cylinder:

Volume of cylinder $V={\mathrm{\pi r}}^2\mathrm{h}$

$\mathrm{V}=$ the volume of the cylinder

$\mathrm{r}=$radius of the cylinder.

$\mathrm{h}=$height of the cylinder

Then the radius of the cylinder is given as:

$$\begin{gathered} \mathrm{V}={\mathrm{\pi r}}^2\mathrm{h} \\ \frac{\mathrm{V}}{\mathrm{\pi h}}={\mathrm{r}}^2 \\ \sqrt{\frac{\mathrm{V}}{\mathrm{\pi h}}}=\mathrm{r} \end{gathered}$$

Therefore, the radius of the cylinder is $\mathrm{r}=\sqrt{\frac{\mathrm{V}}{\mathrm{\pi h}}}$.