Question

Find the missing dimension of the cone. Round your answer to the nearest tenth.

Answer 1

Step 1: $V=\frac{1}{3}Bh$ Write the formula for volume

$$\begin{gathered} 3052=\frac{1}{3}\mathrm{\pi }{\left(\mathrm{r}\right)}^2\left(36\right)\mathrm{Substitute} \\ \frac{3052*3}{36\mathrm{\pi }}={\mathrm{r}}^2 \\ \sqrt{\frac{9156}{36\mathrm{\pi }}}=\mathrm{r} \end{gathered}$$

$r=8.99$ Use calculator

Hence, the radius is about 9 in.