Question
The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres . The areas of inner curved surfaces of the vessels will be in the ratio of :
Answer: Option C
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Let their radii be R and r. Then ,
`(2/3 pi R^3)/(2/3 pi r^3 )= 6.4/21.6`
` hArr (R/r)^3 = 8/27`
`hArr (R/r)^3 = (2/3)^3`
`hArr R/r = 2/3`
`:.` Ratio of curved surface areas = `(2 pi R^2)/(2 pi r^2)`
= `(R/r)^2 = (2/3)^2 = 4/9`
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