pyramid volume with integrals

1. You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person, you conclude that you must have become an Egyptian pharoah. You decide to honor yourself with a pyramid of your own design. You decide it should have height h=830 and a square base with side s=870

2. Find the volume of the solid formed by rotating the region enclosed by

x=0 x=1 y=0 y=8+x^4 about the x-axis.

3. A ball of radius 11 has a round hole of radius 3 drilled through its center. Find the volume of the resulting solid