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find the height of the cone

Posted January 21st, 2008 by alpha
in

The height of a cone is 30cm, A small cone is cut off at the top by a plane parallel to base .If volume is 1/27 of volume of given cone at what height above the box section is made?

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Comments

About similarity

On February 28th, 2008 Structure says:

It is well known that the volume quote of two similar cones is the third power of their similarity quote
As

$$\frac{v}{V}=\frac{1}{27}\:\frac{h}{H}=\frac{h}{30}=\frac{1}{3}$$

Then h=10cm

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