1. Pick the equation of a paraboloid that opens up whose vertex is at the origin and z is the axis of symmetry

2. Pick the equation of (part of) a cone that opens down, whose vertex is on the z-axis at a height of 20 units from the origin.

3. Draw a 3D picture of the solid, E, bounded by the two surfaces you have picked (from parts a & b).

4. Draw the shaded region R on the appropriate 2D plane and write the equation of the curve.

5. Set up the integral in rectangular coordinates only (no polar) to find the volume of the solid, E. (set up only, do not solve)