calculus 2 (find area and volume)

hi can you guys help me?

1. Find the area between the curves:

y=x^3–10x^2+24x

and y=–x^3+10x^2–24x

2. 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

3. 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.

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

5. Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by

y=x^4

y=27x

about the x-axis.

thank you,