Maximum volume cone A cone is constructed by cutting a sector of angle ? from a circular sheet of metal with radius 20 cm. The cut sheet is then folded up and welded (see figure). What angle 0 maximizes the volume of the cone?

Solution Step 1: Consider that the cone is constructed by cutting a sector of angle from a circular sheet of metal The radius of that circular sheet denote it by R is 20cm R=20 cm Suppose r is the base radius of the cone and h is height of the cone Consider the following figure