Water is leaking out of an inverted conical tank at a rate of 9300 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13 meters and the diameter at the top is 7 meters. If the water level is rising at a rate of 21centimeters per minute when the height of the water is 4 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Question

Water is leaking out of an inverted conical tank at a rate of 9300 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13 meters and the diameter at the top is 7  meters. If the water level is rising at a rate of 21centimeters per minute when the height of the water is 4 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Recall that the volume of a right circular cone with height h and radius of the base r is given by

mathhelper · Answer

I noticed that oobleck answered this question for you when you posted it a while ago this evening. All you had to do is finish the arithmetic, after all you are in a Calculus class

susu · Answer

Sorry If I interrupted. I just couldn't see and tried to repost it to get a similar question.