Multiple choice

A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm, then find the number of bottles that can be filled?

  1. 81

  2. 162

  3. 324

  4. 228

  5. None of these.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Hemisphere volume = (2/3)πr³ where r = 27 cm, giving 13122π cm³. Each cylinder has volume πr²h = π × 9 × 9 = 81π cm³. Number of bottles = 13122π ÷ 81π = 162. Option A (81) is exactly half the correct answer - likely forgetting the 2/3 factor in hemisphere formula. Option C (324) is double the correct answer.

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