Amanufacture drills a hole through the center of a metal sphere of radius R. The hole has a radius r. If R = 6, what value of r will produce a ring whose volume is exactly half the volume of the sphere? A r=_ will prduce a ring with a radius equal to half that of the orginal sphere.

A manufacturer drills a hole through the center of a metal sphere of radius R. The hole has a radius r. Find the volume of the resulting ring. 65. For the metal sphere in Exercise 64, let R = 5. Wha t value of r will produce a ring whose volume is exactly half the volume of the sphere? 66. The solid shown in the figure has cross sections.