Question

Five water storage tanks having shapes of right circular cylinders are to be made. Their radii are the same. The volumes of the tanks are 3m³, 5m³, 6m³, 10m³ and 20m³.
A. Write the volume (V) of the water storage tank as a function of heights h.
B. Express h in terms of V.
C. Find the inverse function of V.
D. What is the height of each tank.

Answer 1

V = πr^2 h
h = V/(πr^2)
V is a function of both r and h. Inverse with respect to what?
so the heights are
3/(πr^2)
and so on