A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as the cylinder.

Question

asked Aug 5, 2019 161k views

1 Answer

Nick Caballero · Answer 1 · 2019-08-09T18:37:30+0000

The formula of a volume of a cylinder:

$V_(cylinder)=\pi r^2H$

The formula of a volume of a cone:

$V_(cone)=(1)/(3)\pi r^2H$

If a cone and a cylinder have the same radius and the same height, then a volume of a cylinder is three times greater than a volume of a cone.

$V_(cylinder)=3V_(cone)\\\\V_(cone)=(1)/(3)V_(cylinder)$

$V_(cylinder)=360\ cm^3$

$V_(cone)=(1)/(3)\cdot360\ cm^3=120\ cm^3$