Question

How many balls each of radius 1 cm can be made from a solid sphere of lead of radius 8 cm

Answer 1

Vol. Of sphere =no. Of balls × vol. Of 1 small sphere

Let no. Of sphere made =x

4/3Pie r3/4/3pie r3=x

8)3/1/3=x

512=x

So,no. Of balls =512

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Answer 2

Number of small balls required to

Number of small balls required tomake a solid lead sphere (n)=512

Explanation:

Given radius of the each small

ball (r) = 1cm

Radius of lead solid sphere made by small balls (R)=8cm

Let number of small balls required to made solid lead sphere = n

______________________

We know that,

V of sphere = 4/3π r^3

: - Number = R^3/r^3

{8×8×8}\1

= 512

________________________

Now ,

Therefore,

Number of small balls required to

make a solid lead sphere (n)=512

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