Question
The radius of the cylinder is half its height and area of the inner part is 616 sq. cms . Approximately how many litres of milk can it contain ?
Answer: Option B
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If is given that `r = 1/2 h and 2 pi rh + pi r^2 = 616 m^2`
`:.` `2pi xx 1/2 h xx h + pi xx 1/4 h^2 = 616`
`rArr 5/4 xx 22/7 xx h^2 = 616`
`rArr h^2 = (616 xx 28/110)`
`rArr h^2 = (28 xx 28)/(5)`
`:.` Volume =` pi r^2 h = 22/7 xx 1/4 h^2 xx h` = `22/7 xx 1/4 xx (28 xx 28)/(5) xx 28/sqrt(5) cm^3`
=` ((22 xx 28 xx 28)/(25) xx sqrt(5))` `cm^3`
=`((22 xx 28 xx 28 xx 223)/(25 xx 1000))_` litres = 1.53 lires.
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