FIND THE VOLUME OF THE LARGEST RIGHT CIRCULAR CONE THAT CAN BE CUT OUT OF A CUBE WHOSE EDGE IS 9CM.

Asked by shabnakader | 6th Jan, 2017, 08:48: PM

Expert Answer:

 
begin mathsize 16px style The space base space of space the space cone space willl space be space the space circle space inscribed space in space straight a space face space of space the space cube space and space its space height space will
be space equal space to space an space edge space of space the space cube.
Edge space of space the space cube space equals space 9 space cm
Radius space of space the space base space left parenthesis straight r right parenthesis space equals space fraction numerator 9 over denominator space 2 end fraction space cm
Height space left parenthesis straight h right parenthesis space equals space 9 space cm
Volume space of space the space right space circular space cone space equals space 1 third πr squared straight h
Volume space of space the space cone space to space be space cut space out
equals 1 third cross times 22 over 7 cross times 9 over 2 cross times 9 over 2 cross times 9
equals 2673 over 14 space cm cubed equals 190.93 space cm cubed space space left parenthesis approximately right parenthesis
Hence comma space the space volume space of space the space largest space right space circular space cone space is space 190.93 space cm cubed space. end style

Answered by Rebecca Fernandes | 6th Jan, 2017, 10:19: PM