SSC CPO 2025 PYQ — Question 134

SSC CPO - 10 Dec 2025 - Shift 1 • Quantitative Aptitude • Q134

A cylindrical candle (radius 3 cm, height 10 cm) burns evenly and reduces 1 cm in height every 2 hours. In how many hours will 70% of the candle's volume be burned?

Show answer & explanation

Correct answer: B

Explanation

Radius r = 3 cm

Initial height = 10 cm

Height decreases by 1 cm every 2 hours

70% of the volume burns ⇒ 70% of the height burns

Height burnt = 70/100 × 10 = 7 cm

Time taken to burn 1 cm = 2 hours

Time taken to burn 7 cm = 7 × 2 = 14 hours