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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 Rs 20 per m2, find 

(i) Inner curved surface area of the vessel, 

(ii) radius of the base, 

(iii) capacity of the vessel.

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Here, h = 10 m 

(i) Inner curved surface area = Total cost / Cost of painting per m2 

= 2200 / 20 m2 = 110 m2 Ans. 

(ii) We have, 2πrh = 110 

⇒ 2 × 22 / 7 × r × 10 = 110 

⇒ r = 110 x 7/ 2 x 22 x 10 = 1.75 m Ans. 

(iii) Capacity of the vessel = π r2

= 22/ 7 × 1.75 × 1.75 × 10 m3 = 96.25 m

= 96.25 kl Ans. [1 m3 = 1 kl]

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