SSC MTS 2024 PYQ — Question 5

SSC MTS - 17/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q5

The diameter of a right circular cone is 56 meters and its slant height is 35 meters. Find its volume (rounded off to the nearest integer). (Take  π  = 22/7). 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 17‚248 m3.

height² = slant height² − radius² = 35² − 28² = 1225 − 784 = 441

height = √441 = 21 m

Volume = (1/3) × π × radius² × height = (1/3) × (22/7) × 28 × 28 × 21 = 17,248