A water treatment plant is built with three cylindrical tanks to contain the water for a town. Each tank has a radius of 17 feet and a depth of 24 feet.

Question

If there are about 7.5 gallons in a cubic foot of​ water, approximately how many gallons of water can be treated at the plant at any one​ time?

Answer 1

To find the volume of each cylindrical tank, we use the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

V = π(17^2)(24)
V = π(289)(24)
V ≈ 21727.9 cubic feet

Since there are three tanks, the total volume that can be treated at any one time is:

Total volume = 3 * 21727.9
Total volume ≈ 65183.7 cubic feet

To find the number of gallons, we multiply the total volume by 7.5 (number of gallons in a cubic foot):

65183.7 * 7.5 ≈ 488878.3 gallons

Therefore, approximately 488878.3 gallons of water can be treated at the plant at any one time.