For problems 1-7, find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.

4. y = x1, x = 0, y = 1 (in the first quadrant); about the y-axis

6. y = -x – 2 + 2, y = 0; about the x-axis

8. Find the volume of the frustum of a right circular cone with height 5, lower base of radius 8 and top radius 3. r=3 h = 5 R= 8 Figure 21: Frustum of Cone

10. Find the volume of a pyramid (tetrahedron) with height 4 and base an equilateral triangle with sides 6. h=4 6 6 Figure 23: Tetrahedron