The solid in problem 12-59 is a storage tank and liquid is being added at a rate of 8 cubic units per minute. How fast is the level of the liquid in the tank rising when the level is 4 units above the lowest point of the tank? Homework Help ✎
Graph the functions.
The lowest point is at y = 4.
The height is y. The radius is x.
The volume will be πx2dy.
Express the main function in terms of x, which is the radius.
Let h = 4 and solve for dh/dt.