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It costs Rs 2200 to paint the inner curv...

It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of `R s\ 20\ p e r\ m^2`,
find (i) inner curved surface area of the vessel,
(ii) radius of the base,
(iii) capacity of the vessel

Text Solution

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(i) Cost of painting `1m^2`
area =Rs.20
Rs.20 is cost painting `1 m^2 area`
Rs.2200 is cost of painting = `2200/20 m^2`
=`110m^2` area
(ii) Let radius=`r_1`
height,h=10m
S.A.=`2pirh`=110m
r=`110*7/(22*2*10)`
iii] volume of vessel=`pir^2h`=`3.14*1.75*1.75*10`
=`96.25m^3`
`96250` litre
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