A shot-put made of iron with a diameter of 12 cm is melted…

A shot-put made of iron with a diameter of 12 cm is melted into a solid cylinder with a height of 2 cm. What is the diameter of the cylinder?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 24 cm.

Volume of shot put (sphere) = ${4\over3}\pi r^3$

Radius = 12/2 = 6 cm

Volume of shot put = ${4\over3}\pi (6)^3$ = 288π

Volume of cylinder = πr²h = 2πr²

According to the question,

⇒ 288π = 2πr²

⇒ r² = 144

⇒ r = 12

Diameter = 2r = 24 cm

SSC MTS 2024 PYQ — Question 9