Question

CAN SOMEONE PLEASE HELP!!!!

A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 10 feet. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water will it take to fill up the pool completely? Use π = 3.14 and round to the nearest gallon.


63 gallons

471 gallons

1,409 gallons

3,523 gallons

Answer 1

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. Since the pool is a cylinder with a diameter of 10 feet, the radius is 10/2 = 5 feet, and the height is 6 feet. Therefore, the volume of the pool is:

V = πr^2h

V = π(5^2)(6)

V = 471 cubic feet

Multiplying the volume by the conversion factor of 7.48 gallons per cubic foot gives the number of gallons of water required to fill the pool completely:

471 cubic feet x 7.48 gallons per cubic foot ≈ 3,523 gallons

Rounding to the nearest gallon, the answer is 3,523 gallons. Therefore, it will take approximately 3,523 gallons of water to fill up the pool completely.