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Question

A right circular cone has a volume of 12 cubic centimeters. The height of the cone is 4 cm. How many centimeters is the circumference of the base of the cone, in terms of ?

Accepted Answer

The volume of a cone is 13 r^2 h. We're given that the volume is 12 and the height is 4. Thus, 13 r^2 4 = 12. Solving for r, we find r = 3. Therefore, the circumference of the base is 2 r = 6.