Multiple choice

A person has alcohol in a hemispherical bowl of internal diameter of 36cm. He wanted to fill it into small cylindrical bottle each of radius 3cm and height 12cm. Then find how many such bottles are required to empty the bowl?

  1. 27

  2. 36

  3. 54

  4. 72

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

Hemisphere volume = (2/3)πr³ = (2/3)π(18)³ = 3888π. Each cylinder volume = π(3)²(12) = 108π. Bottles needed = 3888π/108π = 36.