Multiple choice

A hemispherical bowl of internal radius 20 cm contains sauce. The sauce is to be filled in conical shaped bottles of radius 5 cm and height 8 cm. What is the number of bottles required ?

  1. 100

  2. 90

  3. 80

  4. 75
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of hemispherical bowl = (2/3) × π × 20³ = 16,000π/3 cm³. Volume of each conical bottle = (1/3) × π × 5² × 8 = 200π/3 cm³. Number of bottles = (16,000π/3) ÷ (200π/3) = 16,000 ÷ 200 = 80 bottles.

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