SSC CPO 2023 PYQ — Question 119

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q119

If the diameter of a sphere is reduced to its half, then the volume would be:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. reduced by 18\frac{1}{8} of the former volume.

Given that

If the diameter of a sphere is reduced to its half

Volume of a sphere V = 4/3 π r³ = πd3/6

The volume of a sphere ∝ diameter3

New volume = (1/2)3 × former volume = 1/8 of the former volume