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 -

24 : 2 3 : 4 32 : 27 3 : 2

32 : 27

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