Multiple choice

How many spheres of diameter 2 cm can be made by melting a sphere of radius 4 cm? 4 सेमी की त्रिज्या वाले एक गोले को पिघलाकर 2 सेमी वाले व्यास के कितने गोले बनाये जा सकते हैं?

  1. 64

  2. 16

  3. 32

  4. 128
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume of original sphere = (4/3)π(4)³ = (4/3)π × 64 = 256π/3. Volume of each small sphere = (4/3)π(1)³ = 4π/3 (radius is 1 cm since diameter is 2 cm). Number of spheres = (256π/3) / (4π/3) = 256/4 = 64. Therefore, option A is correct. Volume is conserved when melting and recasting.

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