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.

2.5 inches in height

Step-by-step 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.

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn