Question

A water tank has the shape of a horizontal cylinder with radius 1 and length 2.
If water is being pumped into the tank at a rate of 1/6 m³ per minute, find the
rate at which the water level is rising when the water is 1/2 m deep.

It's a Calculus Problem..

Answer 1

Answer:

expand...All values are listed with units, meters, and the depth is 0.5 meters. It is a 2 by 2, but I can't make any sense out of that information. I consulted with a friend and he suggested this could not be solved with Calculus AB. Do you know of any clever way to solve this without double integrals?(I'm in AP Calc AB)

Answer 2

Answer:

expand.

Explanation:

All values are listed with units, meters, and the depth is 0.5 meters. It is a 2 by 2, but I can't make any sense out of that information. I consulted with a friend and he suggested this could not be solved with Calculus AB. Do you know of any clever way to solve this without double integrals?(I'm in AP Calc AB)