Latest other Aptitude Question SOLUTION: A right circular cone has height H and radius R. A small cone is cut off at the top by a plane parallel to the base. At what height above the base the section has been made? State

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A right circular cone has height H and radius R. A small cone is cut off at the top by a plane parallel to the base. At what height above the base the section has been made?

Statement (I): H = 20 cm
Statement (II): Volume of small cone: volume of large cone : 1:15

Asked In other Harsh Poddar (9 years ago)

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Vijay Menaria  (9 years ago)

20 - (20/3)^(1/3)
if radius and height of small cone is r and h
then
(1/3)*3.14*r^2*h = (1/15)(1/3)*3.14*R^2*h
r^2*h = (1/15)*3.14*R^2*h .................1
and by symmetry of triangle in small and large cone
h/r = H/R .................2
by solving 1 and 2 and putting H = 10
h= (20/3)^(1/3)
height above the base section
= 10 - (20/3)^(1/3)

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