1. The problem statement, all variables and given/known data http://i.minus.com/jz5YbMhv91p6K.png [Broken] 2. Relevant equations Volume is the area of the base (or cross section) times height. 3. The attempt at a solution The base is a triangle. The area of a triangle is (0.5)(base length)(height). In this case that's 0.5*20*15, or 10 times 15, or 150. V = 150(h). We differentiate volume with respect to time, since the problem gives us dV/dt and expects us to find dh/dt. dV/dt = 150(dh/dt). 24 = 150(dh/dt) The change in height with respect to time is 24/150 inches/second. This is an unfamiliar problem and I am unsure if I proceeded correctly. Am I right? It seems as if the height variable disappeared; that h = 8 as stated in the problem is extraneous information and that the rate of height increase is constant. Intuitively, this feels correct. But is it?