Question

A cylinder-shaped container is used to store water. The container has a height of 6 feet and a diameter of 3 feet. About how much water is in the container when it is 3/4 full?

A. 127 cubic feet

B. 42 cubic feet

C. 32 cubic feet

D. 14 cubic feet

Answer 1

C. 32 cubic feet

Explanation:

The volume of a cylinder can be written in terms of diameter as ...

V = (π/4)d^2·h

If water fills the 6-foot height to only 4.5 feet, then the volume of water is ...

V = (π/4)(3 ft)^2(4.5 ft) ≈ 31.81 ft^3

The volume of water in the container is about 32 cubic feet.