Question

Water pours at a constant rate into a conical tank of height 10 feet and radius 4 feet. Let V, h and r be the volume, height, and radius if the water in the tank at a particular time t. Express the volume of the water in the tank at any time t as a function of h only.

Answer 1

v = 1/3 pi r^2 h

But the dimension of the tank indicate that at any time,

r/h = 4/10

So, use that to eliminate r.