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

Consider a cone of cone of radius *R* and *H* . Let a cone of height *h* is cut off from the top of this cone whose base is parallel to the original cone. Let the radius of the cone that cut off from the original cone be *r* .

Now, PQ =

*H*–*h*= 30 cm – 10 cm = 20 cmThus, the section of the cone is mode at a height of 20 cm above the base.

Hope! This will help you.

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