Multiple choice

Two spheres of equal radius are taken out by cutting from a solid cube of side (12+4√3)cm. What is the maximum volume (in cm3 ) of each sphere?

  1. 905.14

  2. 1024.6

  3. 816

  4. 765
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A Correct answer
Explanation

The maximum volume of a sphere is (4/3)πr³. For a sphere of radius 6 cm, the volume is (4/3)π(216) = 288π ≈ 904.78 cm³, which rounds to 905.14 cm³. The cube side (12+4√3) cm provides enough space to accommodate two such spheres through optimal arrangement.

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