It costs ₹ 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of ₹ 20 per m², find 

(i) inner curved surface area of the vessel, 

(ii) radius of the base, 

(iii) capacity of the vessel.

(i) Given that, ₹ 20 is the cost of painting a 1 m² area.

₹ 1 is the cost to paint 1/20 m² area

So, ₹ 2200 is the cost of painting = 1/20×2200 

CSA = 110 m² 

The inner CSA of the vessel is 110m².

(ii) Let r be the radius of the vessel

Given, Height = 10 m and CSA = 110 m²

We know that the Surface area of the cylinder = 2πrh

Substituting values

2πrh = 110 m²

2 × 22/7 × r × 10 = 110

r = 1.75

The radius is 1.75 m.

(iii) We know that the volume of vessel formula = πr²h

Using r = 1.75 and h = 10

Volume = (22/7)×(1.75)²×10 = 96.25

The volume of the vessel is 96.25 m³