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 ...
- algebra - volume of cone varies jointly as square of its radius and its height ...
- 7th g-math - An ice-cream shop offers a small size cone and a large size cone. ...
- Calculus - Given a right circular cone, you put an upside-down 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 ...
- 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