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Q.

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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a

6144

b

3072

c

1536

d

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 Question Image Then volume of the spherical ball Question Image The diameter of the semicircular disc is 8 cm and thickness 2 cm.
Then radius Question Image and its height is 2 cm
Then volume of semicircular discQuestion Image Question Image Question Image ​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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