Question

How many Balls, Each of radius 1 cm can be made from a solid sphere of lead of radius 8cm ?​

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.

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Answer 2

Answer:

512

Step-by-step explanation:

volume of initial sphere =4/3*πr³

=4/3*512π

volume of balls =4/3*πr³

=4/3*1π

no. of balls = 4/3*512π/4/3*1π

=512 balls