Question

The volume of the cone shown in the figure below is 1/3 the volume of the cylinder. In terms of h,

what is the volume of the
cone?

Answer 1

It is the last answer
`(16\pi )/(3)`

Explanation:

the volume of the cylinder is the area of the base times the height. The area of a circle is

a =
`\pi r^(2)` We are give the diameter is 8. The radius is 1/2 of the diameter so the radius is 4.
`4^(2)` = 16

a = 16
`\pi` If the cone is 1/3 of that, we divide this answer by 3 to get

a =
`(16\pi )/(3)`