Question

A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the diameter of the tank in feet to the nearest tenth.

Answer 1

Diameter of tank = 19.5 ft

Explanation:

Volume of cylinder = Base area x Height.

Base area = Area of circle

`\texttt{ Area of circle}=(\pi d^2)/(4)`

Height = 20 ft.

Volume of tank = 6000 cubic feet .

`\texttt{ Volume of cylinder = Base area x Height.}\\\\6000=(\pi d^2)/(4)* 20\\\\d^2=381.97\\\\d=19.5ft`

Diameter of tank = 19.5 ft