Question

A solid sphere of radius 3cm is melted and then cast into balls each of radius 0.3cm. Find the no. of balls thus obtained.​

Answer 1

Answer:

Let the total number of balls be x.

Volume of the solid sphere

=

3

4

πr

3

=

3

4

π×3

3

cm

3

=36πcm

3

Radius of spherical ball =

2

0.6

cm=0.3cm

Volume of a spherical ball

=

3

4

π×(0.3)

3

cm

3

=

3

4

π×

10

3

×

10

3

×

10

3

cm

3

=

1000

36π

cm

3

∴ Volume of x spherical balls

=

1000

36π

xcm

3

Clearly,

Volume of the solid sphere = Volume of x spherical balls.

⇒36π=

1000

36π

x⇒x=1000.

Hence, 1000 spherical balls are obtained by melting the given solid sphere .

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