Question

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Answer 1

Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h

The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.

Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³   (remember: volume of a cylinder=πr²h)

Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³