Question

it cost ₹2200 to paint the inner surface of a cylindrical vassel 10m high at the rate of ₹20 per square meter calculate the inner surface area capacity of the vassel​

Answer 1

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

i)

Inner curved surface area of the vessel= 110 m²

ii)

Radius of the base radius of the base= 1.75 m

iii) capacity of The vessel= volume of the vessel

=πr²h= 22/7×7/4×7/4×10= 96.25 m³

= 96.25× 1000 L= 96.25 kL

[ 1 m= 100cm,  1 m³= 100 cm³

1000 cm³= 1L, 1000L= 1kL]

 capacity of The vessel= 96.25 kL