When the water is x feet deep,
- draw a picture
- the volume of water is V(x) = lwh or V(x) = 96x
- the rate of change of the volume of water is dV/dt
- the rate of change of the depth is dx/dt
- a formula relating dV/dt and dx/dt can
be obtained by differentiating the final equation in (1) with respect to
t. That is, dV/dt = 96 dx/dt
- Substitute 3 in for dV/dt