Question

What is the volume of both shapes ?

Answer 1

314 ft cubed

Explanation:

To find the volume, find the volume of the cone and add it to the volume of the cylinder.

The volume of a cone is

`V= (1)/(3)\pi r^2 h=  (1)/(3)\pi (5^2)(12) =  (1)/(3)\pi (25)(12)= (1)/(3)\pi *300 = 100\pi`.

The volume of the cylinder is

`V=\pi (5^2)(4)= \pi (25)(4)= 100\pi`

Together their volume is
`100\pi+100\pi=200\pi \\200\pi =314ft^3`