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.

Answer 1

(i) Cost of painting for cylindrical vessel = Rs. 2200 

Cost of painting is at the rate of Rs. 20 per m² . 

∴ Curved Surface area of vessel = \(\frac{2200}{20}\)

= 110 m² 

(ii) Depth of vessel, h = 10 m 

r = ? 

Curved surface area of vessel, V = 2πrh

(iii) Capacity of the Vessel = Volume of Vessel

V = 96.25 m³ .