Question

A cone with a radius of 3" has a total area of 24pi. sq. in. Find the volume of the cone.

Answer 1

The volume of a cone is given by\[A=\pi rs +\pi r^2=\pi r (s+r)\]where r is the radius and s is the slant. Plug in r and A and solve for s.

Answer 2

Note the relationship between r, s, and h.

Answer 3

The volume of a cone is given by \[V=\frac13\pi r^2h\]where h = height.