SSC CGL 2016 PYQ — Question 59

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q59

A hemispherical bowlof internal radius 9 cm, contains a liquid. This liquid is to befilled into small cylindrical bottles of diameter 3 cm and height 4 cm.Then the number of bottles necessary to empty the bowl is

Show answer & explanation

Correct answer: D

Explanation

The correct option is 4.

hemispherical bowl of internal radius 9 cm

r = 9

volume of hemispherical bowl  × π × r3 =  × π × 93 = 486π

small cylindrical bottles of diameter 3 cm and height 4 cm

radius = 

volume of cylindrical bottles = πr2h

= π × ×× 4 = 9π

no of bottles required = = 54