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CBSE Class 10 Answered

if a surface parallel to the plane of a cone, divide it into two parts,and the surface is going throgh the mid-point of the cone's axis, then what is the ratio into the two parts of the cone?  
Asked by sayantibanerjee04 | 25 May, 2019, 11:47: AM
answered-by-expert Expert Answer
L e t space t h e space h e i g h t space a n d space r a d i u s space o f space o r i g i n a l space c o n e space b e space R space a n d space H A space p l a n e space t h r o u g h space t h e space m i d p o i n t space o f space t h e space a x i s space d i v i d e s space i t space i n t o space t w o space p a r t s space i. e. space a space s m a l l space c o n e space a n d space f r u s t u m space o f space a space c o n e H e i g h t space o f space s m a l l space c o n e equals H over 2 space a n d space R a d i u s equals R over 2 V o l u m e space o f space s m a l l space c o n e equals 1 over 24 πR squared straight H Volume space of space crustum equals Volume space of space original space cone minus volume space of space small space cone equals 1 third πR squared straight H minus 1 over 24 πR squared straight H equals 7 over 24 πR squared straight H Ration space of space volumes space is space 1 colon 7.
Answered by Renu Varma | 27 May, 2019, 04:44: PM

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