SSC CPO 2019 PYQ — Question 113

SSC CPO Tier I - 12th March 2019 - Shift 2 • Quantitative Aptitude • Q113

A sphere of radius 5 cm is melted and recast into spheres of 2 cm each. How many such spheres can be made? (approx.)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 16

The volume of the sphere with radius 5 cm = (4ᴨ/3) × 53

The volume of the sphere with radius 2 cm = (4ᴨ/3) × 23

Number of small spheres = [(4ᴨ/3) × 53]/(4ᴨ/3) × 23 = 15.625

So, no. of small spheres = 16