Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. the tank has height 6 m and the diameter at the top is 4 m. if the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (round your answer to the nearest integer.)

Water is being pumped at a rate of

Explanation:

We have volume of right circular cone is given by

Differentiating with respect to time we get

Now let the rate at which water is entering the conical vessel be

The cumulative change in volume is given by

By similar angle criterion of the triangle we have

Using all the above results we in the above equation we have

Solving for x we get

the current is 0.6

voltage ÷ resistance = current

so 12 ÷ 20 = 0.6