From a cube of edge 14cm ,a cone of maximum size is carved out. Find the volume of the remaining material. 

Asked by medhaaparnatirkey63 | 30th Dec, 2017, 12:12: AM

Expert Answer:

begin mathsize 16px style Edge space of space the space cube equals 14 space cm
rightwards double arrow Volume space of space cube equals left parenthesis Edge right parenthesis cubed equals 14 cubed equals 2744 space cm cubed

Radius space of space the space base space of space the space cone equals straight r equals 14 over 2 equals 7 space cm
Height space of space the space cone equals straight h equals 14 space cm
rightwards double arrow Volume space of space the space cone equals 1 third πr squared straight h equals 1 third cross times 22 over 7 cross times 7 cross times 7 cross times 14 equals 718.67
Hence comma space volume space of space the space remaining space material
equals Volume space of space cube minus Volume space of space cone
equals 2744 minus 718.67
equals 2025.34 space cm cubed end style

Answered by Rashmi Khot | 30th Dec, 2017, 08:12: PM