Question

Question No. 23
Total number of metallic solid spherical balls of radius 2 cm that can be made from a solid metallic sphere of radius 20 cm is​

Answer 1

Volume of sphere=

3

4

πr

3

For solid metallic sphere radius(r)=8 cm

∴Volume=

3

4

×3.14×8

3

=

3

4

×3.14×512

=

3

6430.72

=2143.57 cm

3

For spherical solid balls radius(R)=1 cm

∴Volume=

3

4

×3.14×1

3

=

3

4

×3.14×1

=

3

12.56

=4.186 cm

3

In order to find the number of balls carved from larger sphere we need to divide the larger ball to small ball

∴

4.186

2143.57

=512.08≈512 balls