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What is the number of spherical balls of 2.5 mm diameter that can be obtained by melting a semicircular disc of 8 cm diameter and 2 cm thickness?

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6144

3072

1536

768

answer is A.

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Detailed Solution

Given the diameter of the spherical ball is 2.5 mm.
We know the volume of sphere is

Then volume of the spherical ball Question Image

The diameter of the semicircular disc is 8 cm and thickness 2 cm.
Then radius

and its height is 2 cm
Then volume of semicircular disc

Hence the total number of balls that can be form from the semi circular disc is 6144
So, Option 1 is correct.

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