Question

LEVEL-1
EXERCISE 14.1
8 cm?
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius​

Answer 1

Step-by-step explanation:

Volume of the spherical ball of radius 8 cm

=

3

4

π×8

3

cm

3

Also, volume of each smaller spherical ball of radius 1 cm

=

3

4

π×1

3

cm

3

Let n be the number of smaller balls that can be made. Then, the volume of the larger ball is equal to the sum of all the volumes of n smaller balls.

Hence,

3

4

π×n=

3

4

π×8

3

⇒n=8

3

=512

Hence, the required number of balls =512.