Question:The radius of two hemisphere vessels are `6.4` litres and `21.6` litres. The areas of inner curved surface of the vessels will be in the ratio of : 

A `4 : 9` 
B `2 : 3` 
C `√2 : √3` 
D `16 : 81` 

+ Answer
A 

+ Explanation
`(2/3 π R^3)/(2/3 πr^3)`

`= 6.4/21.6 or (R/r)^3`

`= 8/27 = (2/3)^3.`

`So, R/r = 2/3.`

:. Ratio of curved surface areas 

`= (2π R^2)/(2π r^2)`

`= (R/r)^2`

`= 4/9.`

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