Question
A spherical ball with a radius of 14 cm is melted and
cast into smaller solid cubes, each with a side length of 7 cm. How many such cubes can be formed?Solution
Volume of the sphere = (4/3)πr³ = (4/3) × (22/7) × 14³ = (4/3) × (22/7) × 2744 = 11498.66 cm³. Volume of each cube = a³ = 7³ = 343 cm³. Number of cubes = Volume of the sphere / Volume of each cube = 11498.66 / 343 ≈ 33.5 Correct option: d
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