Question

a person pays ₹2200 to paint an inner curved surface area of a cylindrical vessel 10m deep if the cost of painting it at rate of ₹20 per m^2 find (1)Inner curved surface area of a vessel. (2) the radius of the base

Answer 1

Solution:

Let r be the radius of a vessel.

Given: cost to paint the inner curved surface area= ₹2200

Cost to paint per m²= ₹20 & height of vessel (h)= 10 m

Curved surface area= 2πrh

Inner curved surface area=cost to paint the inner curved surface area/cost of paint per m²

2πrh= 2200/20= 110 m²

2× 22/7×r× 10= 110

 r =(110×7)/(2×220)= 7/4= 1.75m

Hence,

Inner curved surface area of the vessel= 110 m²

Radius of the base radius of the base= 1.75 m