A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36.
The radius of the hemisphere = 6cm
Height of the cylindrical shaped small bottles = 4 cm
The radius of the cylindrically shaped small bottles = 2/2 = 1 cm
Now according to the question,
(2/3)πr3 = nπr2h
(2/3) × 63 = n × 12 × 4
n = 36