Chapter 6.4, Problem 52E

(a)

To determine

To verify: The volume of the right circular cone of radius r and height h is $\frac{\pi r^{2}h}{3}$ when the region R revolves about the x axis using disk method.

(b)

To determine

To find: The volume of the hemisphere of radius r when the region R is revolving about the x axis using shell method.

c.

To determine

To find: The volume of the hemisphere using general slicing method and keep the base of the hemisphere on the xy plane.