Water runs into a conical tank with radius 5 and altitude 10 at a constant rate of 2 cu.ft. per min. How fast is the water rising in the tank at any instant?

Question

You want dh/dt, given dV/dt.

so write an equation relating V to h.
V= 1/3 Areatop*h, in this case the area of the top of the water is PI*radius^2 where the radius is 1/2 h.