Respuesta :
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
