Question

A height of the cone is 30 cm. A small cone is out of at the top by a plane parallel to its
base if its volume be 1/27 of the volume of the given cone at what height about the base is
the section cut.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given : The height of a cone is 30 cm .From its topside a small cone is cut by a plane parallel to its base. If the volume of smaller cone is 1/27 of the given cone.

To find : What height it is cut from its base?

Solution :

Let h be the height and r be the radius of smaller cone.

Volume of the cone is .....[1]

Volume of the given cone is .....[2]

From the property of similar triangles,

Substitute in [1],

We have given, If the volume of smaller cone is 1/27 of the given cone.

Therefore, Smaller cone is cut from 30-10=20 cm from the base.

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