Question

A cone has a volume of 33 cubic inches. If

Answer 1

Answer:

The volume of the  cylinder is

 $V=99\ in^3$

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

$V=33\ in^3$

so

$33=\frac{1}{3}\pi r^{2}h$

Multiply by 3 both sides

$99=\pi r^{2}h$ ----> equation A

Remember that

The volume of a cylinder is equal to

$V=\pi r^{2}h$

The cylinder has the same height and the same  radius as the cone

so

Equate the volume of cylinder to equation A

$V=99\ in^3$