A hemispherical bowl of internal radius 24 cm contains liquid. The liquid is to be filled into cylindrical container of diameter 8 cm and height 12 cm. What is the number of containers that are necessary to empty the bowl?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 48.
Volume of a hemisphere = (2/3) × π × r³
Volume = (2/3) × π × 24³ = (2/3) × π × 13824 = 9216π cubic cm
Volume of one cylindrical container
Radius = diameter / 2 = 8 / 2 = 4 cm
Volume = π × r² × h = π × 4² × 12 = π × 16 × 12 = 192π cubic cm
Number of containers = Volume of bowl / Volume of one container = 9216π / 192π = 48