Question

A hollow cube of internal edge 22 cm is filled with spherical Marbles of diameter 0.5 cm and it is assumed that the space of the cube remains and unfilled then find the number of Marbles that the cube can accommodate​

Answer 1

Answer:

ANSWER

Volume of hollow cube =(22)

3

Radius of marble =

2

0.5

=

4

1

Volume of each marble =4πr

3

=

3

4

×

7

22

×

4

1

×

4

1

×

4

1

=

168

11

cm

3

Space of cube occupied by marbles =V−

8

1

V

=

8

7V

∴ Number of marbles =

168

11

8

7V

=

168

11

8

7

×22×22×22

= 142,296