The height of a cone is 30cm.A small cone is cut off parallel to the base.If its volume is 1/125th the volume of the cone,then at what height above the base is the section made ?

Asked by TVISHA Bhatt | 2nd Feb, 2014, 04:22: PM

Expert Answer:

Consider the bigger cone of height 30 cm.
 
H= 30 cm
 
Let R and r be the radii of bigger and the smaller cones respectively.
 
Let h be the height of the smaller cone.
 
By similar triangles property, triangle A B C tilde triangle A D E
Thus,
 
h over H equals r over R rightwards double arrow h over 30 equals r over R rightwards double arrow r equals h over 30 cross times R
Let V1 and V2 be the volumes of the bigger and the smaller cones respectively.
 

Answered by  | 3rd Apr, 2014, 11:01: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.