Posted by **Mary - Help plz ** on Wednesday, May 25, 2011 at 1:10pm.

The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone?

Is the volume of the new cone 18pi cu in

A. 2 pi cu inches

B. 6 pi cu inches

C. 9 pi cu inches

D. 18 pi cu inches

- Algebra -
**MathMate**, Thursday, May 26, 2011 at 10:29am
The volumes of similar cones (i.e. all linear dimensions are proportional) are proportional to the cube of the linear ratios.

For example, if a cone has twice the linear dimensions of a similar cone, the volume is 2³=8 times the similar cone.

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