Answer: The height of the water in the tank is 1.178 inches
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