Assertion :No. of spherical balls that can be made out of a solid cube of lead whose edge is 44 cm, each ball being 4 cm. in diameter, is 2541 Reason: Number of balls $=$ (Volume of one ball)/(Volume of lead)

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is C Assertion is correct but Reason is incorrect
n(volume of small spheres) $=$ total volume
$n (4 / 3) * (22 / 7) * 2^{3} = (44)^{3}$
$n = (3 / 4) * (7 / 22) * (1 / 8) * (44)^{3} = 2541$
As per the given reason, $n =$ (volume of one ball)/(volume of lead)
Thus, reason is not correct but assertion is correct.
Option c

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Assertion :No. of spherical balls that can be made out of a solid cube of lead whose edge is 44 cm, each ball being 4 cm. in diameter, is 2541 Reason: Number of balls =(Volume of one ball)/(Volume of lead)

Assertion :No. of spherical balls that can be made out of a solid cube of lead whose edge is 44 cm, each ball being 4 cm. in diameter, is 2541 Reason: Number of balls $=$ (Volume of one ball)/(Volume of lead)