Posted by Mary  Help plz on .
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,
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.