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,

Question

Philoid · Accepted Answer

(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

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

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