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

The height of the water in the tank is 1.178 inches

Step-by-step explanation:

Since water flows at the rate of 6000 cubic inches per minute into a cylindrical tank, then after 5 minutes, "x" cubic inches of water must have flowed into the tank. To find x:

1minute 6000 cubic inches

5 minutes ?

Therefore, 5/1 × 6000 = 30,000 cubic inches (this is the volume of water that must have flown into the cylindrical tank.

Since π = 22/7

Radius = diameter/2 = 180/2 = 90inches

Height of the tank = 72 inches, then applying the formula for the volume of a cylinder(π×r×r×h):

22/7 × 90×90×72

12830400/7 = 1832914.29 cubic inches (This is the natural capacity of the tank).

It if after 5 minutes and 3000 cubic inches of water have flown into the cylindrical tank, then the height of the water in the tank =

(In this case, π =22/7, r=90, h= ?)

22/7 × 90×90×h = 30,000

178200/7 = 30,000

178200h = 210000

h = 210000/178200

h = 1.178 inches