Question

A cone has a volume of 1600 cubic inches and height of 18 inches.Which is closest yo the radius of the cone?

Answer 1

The volume of a cone is computed as follows:

$V\text{ = }\pi\cdot r^2\cdot\frac{h}{3}$

where r is the radius and h is the height

Replacing with data and solving for r:

$\begin{gathered} 1600\text{ = }\pi\cdot r^2\cdot\frac{18}{3} \\ \frac{1600}{\pi\cdot6}=r^2 \\ \sqrt{84.882}\text{ = r} \\ 9.213\text{ in = r} \end{gathered}$