Multiple choice

A hemispherical bowl of internal radius 15 cm. contains a liquid. The liquid is to be filled in to a cylindrical-shaped bottles of diameter 5 cm. and height 6 cm. The number of bottles required to empty the bowl is-

  1. 30

  2. 40

  3. 50

  4. 60
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Hemisphere radius = 15 cm. Volume of hemisphere = (2/3)π(15)³ = (2/3)π(3375) = 2250π cm³. Cylinder: diameter = 5 cm, so radius = 2.5 cm, height = 6 cm. Volume of one cylinder = π(2.5)²(6) = π(6.25)(6) = 37.5π cm³. Number of bottles = 2250π / 37.5π = 2250/37.5 = 60. The liquid volume is conserved when transferring.

Keep practicing — related questions