Mathematics Calculus Level: Misc Level

A conical container open to the top is being filled at the rate of 10 ft3/min.The container is 20 feet high with a radius of 6 feet at the top.How rapidly is height of the fluid increasing when the height is 10 feet?

Hint;1; Express the cone,s liquid volume in terms of r and h. Then express r in terms of h using the given dimensions of the cone.That allows you to express the liquid volume in cone as a function of just h, the height of the liquid.

Hint;2;Keep n,in your expressions until the very end-tider.