Multiple choice

A cylinder of maximum possible volume is made by solid cube. How much approximate percentage volume is lost in this process? एक घन से अधिकतम आयतन का बेलन बनाया जाता है। इस प्रक्रिया में लगभग कितने प्रतिशत आयतन नष्ट होगा ?

  1. 33.33%

  2. 20.1%

  3. 16.66%

  4. 21.4%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a cube of side a, max volume cylinder has diameter = side and height = side. V_cylinder = π(a/2)²a = πa³/4 ≈ 0.785a³. V_cube = a³. Volume lost = a³ - πa³/4 = a³(1 - π/4) ≈ a³(1 - 0.785) = 0.215a³. Percentage lost = 21.5%. The answer 21.4% is approximately correct.