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geometry intermediate

Problem

The interior of a right, circular cone is 8 inches tall with a 2-inch radius at the opening. The interior of the cone is filled with ice cream, and the cone has a hemisphere of ice cream exactly covering the opening of the cone. What is the volume of ice cream? Express your answer in terms of .
Solution
The volume of the cone is cubic inches, and the volume of the hemisphere is . The sum is
Final answer
16\pi