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ICSE Class 10 Answered

The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals the volume of a hemisphere of radius r. Justify it.
Asked by jaiswalsindhuli717 | 20 Oct, 2018, 12:27: PM
answered-by-expert Expert Answer
 
Here,
The diameter of the base of the cone = Side of cube = 2r cm
begin mathsize 16px style rightwards double arrow radius space of space the space base space of space the space cone space space equals space straight r space cm and space height space of space the space cone space left parenthesis straight h right parenthesis space equals space side space of space cube space equals space 2 straight r space cm We space know space that comma Volume space of space the space required space cone space equals space 1 third πr squared straight h space equals 1 third πr squared space cross times space 2 straight r space equals open parentheses 2 over 3 πr cubed close parentheses cm cubed equals space Volume space of space straight a space hemisphere end style
Answered by Yasmeen Khan | 22 Oct, 2018, 04:35: PM

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