Archive
21st of September 2015
Mathematics
Q:

a hollow cube of side 4 cm contains a solid sphere touching its sides, find the volume of gaps between sphere and walls of cube?

Nisha_vini29 - CBSE - Class IX

Monday, September 21, 2015 at 14:48:PM

A:

Hi Nisha,

Volume space of space cube space equals space straight a cubed space equals space 4 cubed equals 64 cm cubed  straight A space sphere space is space contained space in space the space cube So space diameter space of space sphere space equals space 4 cm radius space of space sphere space equals space 2 space cm  Volume space of space sphere space equals space 4 over 3 πr cubed equals 4 over 3 cross times 22 over 7 cross times open parentheses 2 close parentheses cubed equals 33.52 space cm cubed  Volume space of space gaps space between space sphere space and space walls space of space cube equals space Volume space of space cube space minus space Volume space of space sphere equals space 64 cm cubed space minus space 33.52 space cm cubed equals space 30.48 space cm cubed

Monday, September 21, 2015 at 18:06:PM