Question

A cone has a radius of 8 inches and a height of 12 inches.What is the exact volume of the cone?

Answer 1

Volume =
`256\pi in ^(3)`

Work is attached in the image provided.

Answer 2

`The\ volume\ of\ the\ cone:V=(1)/(3)\pi r^2H\\\\where\\r-radius\\H-height\\----------------\\\\r=8\ in\ and\ H=12\ in\\\\therefore\\\\V=\frac{1}3{\pi\cdot8^2\cdot12=(1)/(\\ot3_1)\cdot(\\ot12^4)/(1)\cdot64\pi=4\cdot64\pi=\boxed{256\pi\ (in^3)}`