SSC CGL 2019 PYQ — Question 29

SSC CGL Tier II Quant - 12/09/2019 • Quantitative Aptitude • Q29

A solid metallic sphere of radius 8cm is melted and drawn into a wire of uniform cross-section. If the length of the wire is 24m, then its radius (in mm) is ? 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 ie 

(4/3) × 8³ = r² × h

(4/3) × 8³ = r² × 24

r² = (8³ × 4) / (3 × 24)

r² = (8 × 8 × 2 × 2) / (3 ×3)

r = (8 × 2)/3 = 16/3