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

(i) Rs 20 is the cost of painting 1 m² area Rs 2200 is the cost of painting = ( * 2200) m²

= 110 m²

Therefore, the inner surface area of the vessel is 110 m²

(ii) Let the radius of the base of the vessel be r

Height (h) = 10 m

Surface Area = 2πrh = 110 m²

= 2 * * r * 10 = 110

= r = m

r = 1.75 m

(iii) Volume = πr²h

= * 1.75 * 1.75 * 10

= 96.25 m³

The capacity of the vessel is 96.25 m³ or 96250 litres