2. A manufacturer drills a hole through the center of a metal sphere of radius 5 inches. The hole has a radius of 3 inches (as shown in the figure). What is the volume of resulting metal ring?

What is the amount of empty space in the cylinder

A company who makes flotation devices has products that come in many different shapes and sizes. Complete parts a and b below using the figures shown to the right. Use the a button on your calculator. Base part (a) Base part (b) ..... a) Determine the volume, in cubic inches, of a flotation device that is in the shape of a 7-ft-long solid octagonal prism whose base has an area of 4 in. The volume of the flotation device is in.. b) Determine the volume, in cubic inches, of a hollow flotation device that has the same shape as the flotation device described in part (a) except that a right circular cylinder of a diameter 0.5 in. has been removed from the center. The volume of the flotation device is in.". (Type an integer or a decimal. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest thousandth as needed.)

3. A cone-shaped indentation is cut into a solid wooden cylinder. To the nearest tenth of a cubic inch, what is the volume of the solid that remains? 2.5 in I 16 in 8 in A. 194.1 in³ B. 202.6 in³ C. 218.4 in³ D. 225.8 in³ PRE-ALGEBRA REVIEW Name: Date: