Question

Find the radius of the cone. Round your answer to the nearest tenth.

Answer 1

Calculate the radius of cone

We know that volume of cone $V=\frac{1}{3}$${\mathrm{\pi r}}^2$$\mathrm{h}$

: $$\begin{gathered} 16.5=\frac{1}{3}\mathrm{\pi }{\left(\mathrm{r}\right)}^2\left(5\right)\mathrm{Substitute} \\ \frac{16.5*3}{5\mathrm{\pi }}={\mathrm{r}}^2 \\ \sqrt{\frac{49.5}{5\mathrm{\pi }}}=\mathrm{r} \end{gathered}$$

r = 1.77 cm.

Hence, The radius is about 1.77 cm.