A storage tank in a filling station measures 9 feet in length and 3 feet in diameter. What is the capacity of the tank to the nearest gallon?

Question

Quizplus · Accepted Answer

To find the capacity of the tank in gallons, we need to first calculate the volume of the tank in cubic feet, and then convert that to gallons.

Volume of a cylindrical tank = πr^2h, where r is the radius (half of the diameter) and h is the height (length).

Radius = 3/2 = 1.5 feet 
Height = 9 feet

Volume = π(1.5)^2(9) = 63.63 cubic feet

To convert cubic feet to gallons, we need to multiply by 7.48 (1 cubic foot = 7.48 gallons).

63.63 cubic feet x 7.48 = 476.0624 gallons

Rounded to the nearest gallon, the answer is 476 gallons. Therefore, the best choice is C.

A Storage Tank in a Filling Station Measures 9 Feet