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