So the step where you implicit derive the geometric formulas for time seem to be giving me the most trouble.
How would this be done for volume of a cylinder $$(v=pi^2h)$$ and area of a triangle $$(1/2bh)$$
For the latter, I gave it a try and got $$(b*db/dt*h*dh/dt)/0$$$. Considering the derivative of a constant (2) is zero, the equation is undefined and I don't see how this could be the right equation
For the former equation, the question asks: Water is being pumped into a vertical cylinder of radius 5 meters and height 20 meters at a rate of 3 meters3/min. How fast is the water level rising when the cylinder is half full?
For the later, the question asks: A right triangle has one leg of 7 cm. How fast is its area changing at the instant that the other leg has length 10 cm and is decreasing at 2 cm per second?