Question

A cube of side 7 cm contains a cone touching its sides. Find the volume of the gap in between

Answer 1

Step-by-step explanation:

Volume of cube =4

3

=64cm

3

As sphere touches the sides of cube, diameter of sphere is 4

Volume of sphere =

3

4

πr

3

=

3

4

×

7

22

×2

3

=33.51cm

3

Volume of gap = Volume of cube - Volume of sphere

=64−33.51

=30.49cm

3