SSC CGL 2023 PYQ — Question 11

SSC CGL Tier II - 3 March 2023 - Shift 1 • Quantitative Aptitude • Q11

A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled
 in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are
 required to empty the bowl?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 72

Let there are n bottles required to empty the bowl

According to the question

The volume of a hemispherical bowl = n *  The volume of the cylindrical bottles

(2/3)πR3 = n * πr2h 

(2/3) * 183 = n * 9 * 6

n = 36 * 2 = 72