SSC CPO 2025 PYQ — Question 134

SSC CPO - 11 Dec 2025 - Shift 2 • Quantitative Aptitude • Q134

A cylinder is inscribed inside a cube of side 10 cm. What percentage of the cube's volume is occupied by the cylinder?

Show answer & explanation

Correct answer: A

Explanation

Side of the cube = 10 cm

Volume of the cube = a³

Volume of the cube = 10³ = 1000

For the cylinder: r = 5 cm, h = 10 cm

Volume of the cylinder = πr²h

Volume of the cylinder = π × 5² × 10 = 250π

Percentage = (250π / 1000) × 100 = 25π = 78.5%