2021 · Q67
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 ?
Elementary MathematicsMensuration
- A54
- B81
- C108
- D135
Explanation
Bowl volume = (2/3)π·18³ and one bottle = π·3²·4 = 36π. The number of bottles is (2/3)·18³/36 = (2/3)·5832/36 = 108. This is option (c).