Posted by **Paul** on Friday, March 2, 2012 at 5:26am.

Two similar cones have volumes 81pi/2 in^3 and 12pi in^3 and slant height of the bigger cone is 7.5 in. Find the integer solution to the height of the similar cone.

- Solid Mensuration -
**Steve**, Friday, March 2, 2012 at 2:58pm
bigV/smallV = 81/2 / 12 = 81/24 = (3/2)^3

volumes are in the ratio x^3:1 if the sides are in ratio x:1

so,

bigH/smallH = 3/2

so, 7.5/smallH = 1.5, and smallH = 5

## Answer this Question

## Related Questions

- Solid Mensuration - Two similar cones have volumes 81pi/2 in^3 and 12pi in^3 and...
- math - Two right circular cone, one upside down in the other. The two bases are ...
- geometry - The diameter of two similar cones are in the ration 5 to 6. If the ...
- 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...
- Pure Maths - Two cones are similar in shape and the ratio of corresponding ...
- Geometry - One right circular cone is set inside a larger circular cone. The ...
- geometry - Two cones are similar. The larger cone, R, has a volume of 1331 cubic...
- Geometry - "A cone has the radius of 24 and its volume is 1,920 what is the ...
- maths - Two spheres of radius 6 cm and 4cm are inscribed in a right circular ...

More Related Questions