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Probability

Question
CBSEENMA9003520

It costs र 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of र 20 per m2, find
(i)     inner curved surface area of the vessel,
(ii)    radius of the base,
(iii)   capacity of the vessel.

Solution
(i) Inner curved surface area of the vessel  equals 2200 over 20 equals 110 space straight m squared
(i) Inner curved surface area of the vessel 
rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space space 2 πrh equals 110
rightwards double arrow space space space space space space space space space space space space space space space 2 cross times 22 over 7 cross times straight r cross times 10 equals 110
rightwards double arrow space space space space space space space space space space space space straight r equals fraction numerator 110 cross times 7 over denominator 2 cross times 22 cross times 10 end fraction
rightwards double arrow space space space space space space space space space space space straight r equals 7 over 4
rightwards double arrow space space space space space space space space space space space straight r equals 1.75 space straight m

Hence, the radius of the base is 1.75 m.
(iii)    r = 1.75 m
h = 10 m π Capacity of the vessel = straight pir2h

equals 22 over 7 cross times ? left parenthesis 1.75 right parenthesis squared cross times 10
equals space 96.25 space straight m cubed
Hence, the capacity of the vessel is 96.25 m3 (or 96.25 kl).