Volume of two cones are in the ratio 4 : 1 and their diameters are in the ratio 4 : 5. The ratio of their heights is -
Answer & explanation
Correct answer: option 3
Ratio of Volumes = \(\frac{1}{3}\)\(\pi \) r₁²h₁ : \(\frac{1}{3}\)\(\pi \)r₂²h₂
r₁²h₁ : r₂²h₂
(4)²h₁ : (5)²h₂ = 4 : 1
⇒ h₁ : h₂ = 25 : 4