Question

lt costs rs. 2200to paint the inner curved surface of a cylindrical vessel 10m high at the rate of 20per sq metre calculate the inner surface area and the capacity of the vessel

Answer 1

cost = Area×rate

2200 = area × 20

Surface area = 110 sq. m

C.S.A of the cylinder = 2πrh

110 = 2×(22/7)×r×10
r = [110/(22×20)]×7
r = 7/4 m

Volume of cylinder = πr^2h
= (22/7)×(7/4)^2×10
= (22×49×10)/(7×16)
= 256.66 m sq.