Problem-Solving: Fall-2025
Assignment 2 : Due W2 D5

1. Cone Surface S0 5406S
   1. Find \(dA\) on the surface of an (open) cone in both cylindrical and spherical coordinates. Hint: Be smart about how you coordinatize the cone.
   2. Using integration, find the surface area of an (open) cone with height \(H\) and radius \(R\). Do this problem in both cylindrical and spherical coordinates.

2. Ice Cream Mass S0 5406S

   Use integration to find the total mass of the ice cream in a packed cone (both the cone and the hemisphere of ice cream on top).