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

Answer:

Diameter of tank = 19.5 ft

Step-by-step explanation:

Volume of cylinder = Base area x Height.

Base area = Area of circle

$\texttt{ Area of circle}=\frac{\pi d^2}{4}$

Height = 20 ft.

Volume of tank = 6000 cubic feet .

$\texttt{ Volume of cylinder = Base area x Height.}\\\\6000=\frac{\pi d^2}{4}\times 20\\\\d^2=381.97\\\\d=19.5ft$

Diameter of tank = 19.5 ft