Question

Water flows at a rate of 7500 cubic inches per minute into a cylindrical tank. The tank has a diameter of 196 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 10 minutes? Round your answer to the nearest tenth.

Answer 1

2.5 inches in height

Explanation:

Givens

water flowing = 7500 in^3 / minute

water flowing = 75000 in^3 / minute * 10 minutes

Tank diameter = 196 inches

Tank radius = 196 inches /2

Tank radius = 98 inches

h_10 minutes = ??

Formula

V = pi r^2 h

Solution

75000 = 3.14 * 98^2 * h

75000 = 3.14 * 9604 * h

75000 = 30156.56 * h

h = 75000 / 30156.56

h = 2.487 which rounded to the nearest 1/10 is

h = 2.5 inches. Seems awfully small doesn't it, considering the volume flowing in.