Math Problem Statement

Water is leaking out of an inverted conical tank at a rate of 6 liters per minute. At the same time that water is being pumped into the tank at a constant rate. The tank has a height of 18 meters and the diameter at the top is 12 meters. If the water level is rising at a rate of 15 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being pumped into the tank in milliliters per minute.

Solution

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Math Problem Analysis

Mathematical Concepts

Related Rates
Volume of Cone
Units Conversion

Formulas

Volume of a Cone: V = (1/3)πr^2h

Theorems

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Suitable Grade Level

High School