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