Asked by Michael
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.
Answers
Answered by
Steve
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.
But the dimension of the tank indicate that at any time,
r/h = 4/10
So, use that to eliminate r.
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