Multiple choice

A hemispherical bowl of internal radius 18 cm contains a liquid. The liquid is filled in small cylindrical bottles of internal radius 3 cm and internal height 4 cm. What is the number of bottles used to empty the bowl?

  1. 54

  2. 81

  3. 108

  4. 135
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of bowl = (2/3) * pi * R^3 = (2/3) * pi * 18^3 = (2/3) * pi * 5832 = 3888 * pi. Volume of bottle = pi * r^2 * h = pi * 3^2 * 4 = 36 * pi. Number of bottles = (3888 * pi) / (36 * pi) = 108.

AI explanation

The volume of the liquid in the hemispherical bowl is found using the formula (2/3)πr³, giving (2/3)π(18³) = 3888π cm³. The volume of each cylindrical bottle is πr²h, which equals π(3²)(4) = 36π cm³. Dividing the total volume of the liquid by the volume of a single bottle gives 3888π / 36π = 108 bottles.

Keep practicing — related questions