The height of the water in the tank after 5 minutes is 2.87 inches if the tank has a diameter of 120 inches and a height of 72 inches.
What is a cylinder?
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have:
Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank.
Volume or amount of water after 5 minutes:
= 6500×5
= 32500 cubic inches
The base area of the cylindrical tank = πr²
r is the radius of the tank
The diameter of the tank = 120 inches
The radius r = 120/2 = 60 inches
The base area of the cylindrical tank = π(60)² = 79200/7
∵ π = 22/7
The height of the water in the tank after 5 minutes
= 32500/(79200/7)
h = 2.87 inches
Thus, the height of the water in the tank after 5 minutes is 2.87 inches if the tank has a diameter of 120 inches and a height of 72 inches.
Learn more about the cylinder here:
brainly.com/question/3216899
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