Question

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

[ Assume π = 22/7 ]

Answer 1

(i) Rs 20 is the cost of painting 1 m² area.

Rs 2200 is the cost of painting = (1/20 x 2200) m² area = 110 m² area

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) of vessel = 10 m

Surface area = 2πrh = 110 m²

Therefore, the capacity of the vessel is 96.25 m³ or 96250 litres.