SSC CGL 2023 PYQ — Question 20

SSC CGL Tier II - 2 March 2023 - Shift 1 • Quantitative Aptitude • Q20

What is the volume of the largest sphere that can be carved out of a wooden cube
of sides 21 cm? (π = 227\frac{22}{7})

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4851cm3

Given that

Sides of cube = 21cm 

This side of the cube is the diameter of the largest sphere which is carved from it.

Radius = 21/2 cm

Volume of sphere = 4/3 π r³ = (4/3) * (22/7) * (21/2)3

= 4851 cm3