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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...Asked by Mary - Help plz
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
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
Answers
Answered by
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.
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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