Question

The height of the 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 given cone,at what height above the base is the section made??

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Answer 1

Hey Mate....!!!!!
Here's ur answer.....

Let, The small cine APQ be cut off at the top by the plane PQ||BC.

Let, r n h be radius n height of smaller cone n also radius of larger cone be R.

Now,. ∆AOQ ~∆AMC
=. AO/AM = OQ/MC
=. h/30 =. r/R
=. r =. hR/30. ...........(1)

Since ,
Given that
volume of smaller cone = 1/27( volume of larger cone)
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Hence, the smaller cone has been cut off at a height of
= ( 30 - 10 )cm.
=. 20 cm from the base.


Hope it helps..!!!!!!!

Answer 2

Answer:

$hence \: solved$