If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes?

A.
27 : 32 
B.
27 : 23 
C.
23 : 32 
D.
27 : 23
Correct Answer: Option A
Explanation
(frac{h_1}{h_2}) = (frac{2}{3})
h_{2} = (frac{2h_1}{3})
(frac{r_1}{r_2}) = (frac{9}{8})
r_{2} = (frac{9r_1}{8})
v_{1} = (pi)((frac{9r_1}{8}))_{2}((frac{2h_1}{3}))
= (pi)r_{1} 2h_{1} x (frac{27}{32})
v = (frac{pi r_1 2h_1 times frac{27}{32}}{pi r_1 2h_1}) = (frac{27}{32})
v_{2} : v_{1} = 27 : 32