SSC CGL 2023 PYQ — Question 65

SSC CGL - 18 July 2023 - Shift 4 • Quantitative Aptitude • Q65

A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is
:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 3 : 1.

The volume of cone = 1/3 𝜋r12h1

here, r1 = radius of cone, h1 = height of cone

The volume of cylinder = 𝜋r22h2

here, r2 = radius of cylinder, h2 = height of cylinder

Given that,

Volume of cone = volume of cylinder and,

⇒ r1 = r2

⇒ 1/3 𝜋r12h1 = 𝜋r22h2

⇒ h1/h2 = 3/1

⇒ h1 : h2 = 3 : 1