If the base radii of two cylinders are in the ratio of 1 : 2 and their volumes are in the ratio 8 : 27, then find the ratio of their height -
Answer & explanation
Correct answer: option 3
Ratio of base radius ⇒ 1 : 2
Ratio of volume ⇒ 8 : 27 = \(\pi \)r12h1 : \(\pi \)r22h2
⇒ r12h1 : r22h2 = 8 : 27
⇒ 12h1 : (2)2h2 = 8 : 27
⇒ h1 : h2 = 32 : 27