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CBSE Class 10 Answered

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 | 02 Feb, 2014, 04:22: PM
answered-by-expert 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 | 03 Apr, 2014, 11:01: AM

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