Question

PLEASE HELP :) A cone with radius of 3" has a total area of 24 sq. in. Find the volume of the cone.

Answer 1

T.A. = πrl + πr²

1
V = ---- πr²h
3

use these formulas........

from TA first find value of h
then calculate l = root(h² + r²)

Answer 2

There might be a quicker way, I don't know it though.

To get the volume u need the height.

To get the height u need to use the surface area formula to calculate the slant height which will give u the height via Pythagorus.

Messy but not difficult calculation, u just have to work through the steps.