A water tank is in the shape of a cylinder with a height of 20 feet, and a volume of 1004.8 cubic feet. What is the diameter in feet of the water tank?

Answer: diameter of the tank is 8 feet.

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 1004.8 cubic feet

Height = 20 feet

Therefore,

1004.8 = 3.14 * r² * 20

1004.8 = 62.8r²

Dividing the left hand side and the right hand side of the equation by 62.8, it becomes

r² = 1004.8/62.8 = 16

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = 4

Diameter = 2 * radius = 2 * 4

Diameter = 8 feet

This would be 8 feet