Question

What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.

Answer 1

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.