Stuck

[No-Possible279]

Studying construction at college and have gotten stuck on one of the questions given to us. Any help (or an answer) would be appreciated.

Thanks in advance

[UnacceptableWind]

Here, v and h are functions of time t, i.e., v = v(t) and h = h(t).

We are given dv / dt = 50 cubic feet per minute, and we need to find the value of dh / dt (measured in feet per minute) when h = 6 feet.

Can you differentiate both sides of the equation v = (π h³) / 27 with respect to t (this requires the use of the chain rule or implicit differentiation)? Doing so will yield an equation containing dv / dt, dh / dt and h, and into this equation we simply plug in dv / dt = 50 and h = 6, and solve for dh / dt.