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.
Answer This Question
Related Questions
 geometry  The volume of a cone is 54 pi cubic inches. The radius and height of ...
 7th gmath  An icecream shop offers a small size cone and a large size cone. ...
 Calculus  Given a right circular cone, you put an upsidedown cone inside it so...
 Calculus  A cone is inscribed in a sphere of radius a, centred at the origin. ...
 Math  the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is...
 math geometry  a cone has a radius of 2 inches and a height of 12 inches if the...
 math  Two right circular cone, one upside down in the other. The two bases are ...
 algebra  volume of cone varies jointly as square of its radius and its height ...
 Calculus: Optimization  I have no idea how to approach this problem, if someone...
 geometry  Two cones are similar. The larger cone, R, has a volume of 1331 cubic...
More Related Questions