Question

A cone has a diameter of 30 in. and a slant height of 17 in.

Answer 1

Use the given formula :

$V=\frac{1}3\pi r^2h=\frac{1}3\pi (\frac{D}2)^2h$ where $D$ is the diameter.

By Pythagoras, $h=\sqrt{17^2-(30/2)^2}=8\text{ in}$

Hence $V\approx\frac{3.14}3*15^2*8=\boxed{1884.0\text{ in}^3}$