A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. Find the rate at which the water level is rising when the water in the tank is 4 feet deep. [Note the water depth changed.] When the water in the tank is 4 feet deep, what is the radius of the tank at that height? Use your formula that relates the variables, their rates of change, and the given rate of change to determine the rate at which the height of the water is changing when the water is 4 ft deep.

A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. Find the rate at which the water level is rising when the water in the tank is 4 feet deep. [Note the water depth changed.] When the water in the tank is 4 feet deep, what is the radius of the tank at that height? Use your formula that relates the variables, their rates of change, and the given rate of change to determine the rate at which the height of the water is changing when the water is 4 ft deep.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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