The ratio of the base cylinder and a cone is 3 : 4 and their heights are in the ratio 2 : 3. Then the ratio of their volume :

9 : 8

Ratio of the base radius of cylinder and a cone is B1:B2 = 3:4

heights are in the ratio h1:h2 = 2:3

Volume ratio= Πr1²*h1 : Πr2²*h2/3 = 3²*2 : 4²*3/3 = 18:16 = 9:8

The correct answer is option (2): 9 : 8