How fast in inches per minte the water rising the pool?

Question

 10 gallons per minute water flows into a 16 feet circular pool.

Answer 1

I assume that the 16 feet is the diameter of the pool.  h(t)=depth of the pool at time t. The volume of the water is

V(t)=π8²h(t).  The condition of the problem is that dV/dt = 10 gallons per minute.  This translates as

dV/dt=10×231 in³ per minute.  h(t)=V(t)/(64π).  dh/dt =( dV/dt)/(64π)=2310/(64π) in/min≈11.488997 in/min