Question

What is the approximate volume of a cone with a height of 12 in

Answer 1

`\large\boxed{V=324\pi\ in^3\approx1017.36\ in^3}`

Explanation:

The formula of a volume of a cone:

`V=(1)/(3)\pi r^2H`

r - radius

H - height

We have r = 9in and H = 12in. Substitute:

`V=(1)/(3\!\!\!\!\diagup_1)\pi(9^2)(12\!\!\!\!\!\diagup^4)=\pi(81)(4)=324\pi\ in^3\\\\\pi\approx3.14\\\\V\approx(324)(3.14)=1017.36\ in^3`