Water level in a cone shaped tank using differentiation
Model a water tank by a cone 40ft hight with a circular base of radius 20ft at the top. Water is flowing into the tank at a constant rate of 80ft^3/min. How fast is the water level rising when the water is 12ft deep? Answer should be in the nearest hundredth of a foot per min.
Question 1: am i solving for dV/dt or dh/dt
Question 2: if you start with V=(1/3)pi*r^2h does that mean that r (radius) and h (height) are already given?
Question 3: if i'm solving for dh/dt then what/how do i find what dV/dt is to begin with