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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

We are getting 6000 cubic inches per minute into the tank.

After 5 minutes, we will have 30,000 cubic inches of water in cylindrical tank.

Cylinder volume is π*r²*h. Our dimensions are all inches. We want the height of the water level. Therefore, we want to find h such that π*r²*h = 30,000.

Diameter is 180 inches---what is the radius?

All that's left is plugging in, solving, and rounding.