Question

If a solid silver sphere of diameter 6dcm is melted and recasted inti a solid right circular rod,then let us determine the length of diameter of rod.
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Answer 1

Answer:

12 cm

Step-by-step explanation:

Given,

The diameter of solid metal sphere D=6 cm

Hence, radius of solid metal sphere r=

2

D

=3 cm

The solid sphere is melted and a circular disk of thickness h=1 cm is prepared.

Let the radius of the circular disk be R cm

Given that the solid sphere is melted and form a circular disk.

→ Volume of circular disk = Volume of solid sphere .

→πR

2

h=

3

4

πr

3

→R

2

=

3h

4r

3

→R

2

=

3×1 cm

4×3

3

cm

3

→R

2

=4×3

2

cm

2

→R

2

=4×9 cm

2

→R

2

=36 cm

2

→R=6 cm

Hence the diameter of the circular disk d=2×R=12 cm..

here u go child