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.

The height of water in tank after 5 minutes is 1.2 inches

Solution:

Water flows at a rate of 6000 cubic inches per minute into a cylindrical tank

Therefore,

1 minute = 6000 cubic inches

Therefore, for 5 minutes, rate is given as:

5 minute = 5 x 6000 = 30000 cubic inches

The tank has a diameter of 180 inches and a height of 72 inches

Diameter = 180 inches

Thus, radius = 90 inches

We know that, volume of the water filled in the cylindrical tank in 5 minutes is 30000 cubic inches

Volume of cylinder is given as:

Where, "r" is the radius and "h" is the height of tank

Thus height of water in tank after 5 minutes is 1.2 inches

the answer is: the length is 5/6 yards.

give me a or a 5 star rating if this is correct!

step-by-step explanation: