1. The problem statement, all variables and given/known data Sand is poured into a right circular cylinder of radius ½ m along its axis from above. Once sand completely covers the bottom, a right circular cone is formed on the top. a. If 0.02 m3 of sand enters the container every minute, how fast is the top of the sand pile rising? b. How fast is the sand rising along the side of the cylinder? 2. Relevant equations dV/dt = 0.02 V of cone = 1/3[pi]r^2h V of cylinder = [pi]r^2h 3. The attempt at a solution First of all, would the top of the sand pile and the sand along the side of the cylinder be rising at the same rate? V = 1/3[pi]r^2x + [pi]r^2y x = height of cone, y = height of cylinder. therefore x + y = H Rate of change of H is d(x+y)/dt Im not even sure if I'm still on the right track.