Question

Water flows at a rate of 6000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 180 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 5 minutes? Round your answer to the nearest tenth

Answer 1

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Explanation:

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Answer 2

The height in inches of the water in the tank is 1.2 inches

how to find the height

To find the height of the water in the tank after 5 minutes, we need to consider the volume of water that has flowed into the tank.

The formula for the volume of a cylinder is given by:

= π r² h

r = diameter /2 = 180 / 2 = 90

After 5 minutes, the volume of water added

= 6000 * 5

= 30000

The new height is calculated using the volume formula

30000 = π 90² h

h = 30000 / (π * 90²)

h = 1.18 inches

h = 1.2 inches