SSC CPO 2022 PYQ — Question 125

SSC CPO - 10 Nov 2022 - Shift 1 • Quantitative Aptitude • Q125

How many metallic spheres, each of diameter 6 cm can be melted to mould into a solid cylinder of diameter 8 cm and height of 18 cm?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 8

Let n be the metallic spheres

According to the question

Volume of the cylinder = n * Volume of the metallic spheres

π * (8/2)2 * 18 = n * (4/3) * π * (6/2)3

64 * 18/4 = n * 4 * 27/3

n = 8