SSC CPO 2022 PYQ — Question 142

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q142

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