Question

A sphere touches all the sides of a cube side 12 cm. What is the radius of the sphere?​

Answer 1

Answer:

6 cm

Step-by-step explanation:

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Answer 2

Answer:

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