1. The problem statement, all variables and given/known data A right circular cone has height 6 cm and base radius 2. It is over-filled with ice cream, in the usual way. Place the cone so its vertex is at the origin, and its axis lies along the positive y–axis, and take the cross-section containing the x–axis. The top of this crosssection is a piece of the parabola y = 8 − x2 . The whole filled ice-cream cone is obtained by rotating this cross-section about the y–axis. What is the volume of the ice cream? 2. Relevant equations y = 8 − x2 3. The attempt at a solution I have no idea how to work out this question, but I think where you start off is by integrating y = 8 − x2 so that ends up y = 8x - x3/3 I just don't know how to get to the next step from here. Many thanks.