SSC MTS 2019 PYQ — Question 64

SSC MTS Previous Year - 02 August 2019 - Shift 1 • Quantitative Aptitude • Q64

Radius of base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume. then what is the height of the cone.
 

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. 4r

Understanding

Application

Given:

Radius of cone = Radius of sphere = r

Suppose height of the cone is ‘h’.

Since the sphere and the cone have the same volume;

⇒ πr2h/3 = 4πr3/3

⇒ h = 4r