Water is pouring into a conical tank at the rate of 8 cubic feet per minute. If the height of the tank is 10 feet and the radius of its circular opening is 4 feet, how fast is the water level rising when the water is 4 feet deep

Explanation:

We are given that

Height of tank=h=10 ft

Radius of tank, r=4 feet

We have to find the dh/dt when the water is 4 feet deep.

Volume of cone ,

Substitute the values

Volume of cone ,

Differentiate w.r.t t

Substitute the values

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