Solution:
Given height of the metal pipe = 77 cm
Inner diameter = 4 cm
Inner radius, r = d/2 = 4/2 = 2 cm
Outer diameter = 4.4 cm
Outer radius, R = d/2 = 4.4/2 = 2.2 cm
(i)Inner curved surface area = 2rh
= 2×(22/7)×2×77
= 968 cm2
Hence the inner surface area is 968 cm2.
(ii)Outer curved surface area = 2Rh
= 2×(22/7)×2.2×77
= 1064.8 cm2
Hence the outer curved surface area is 968 cm2.
(iii)Area of ring = (R2-r2)
= (22/7)×(2.22-22)
= (22/7)×(4.84-4)
= (22/7)×0.84
= 2.64
Total surface area = inner surface area + outer surface area + area of two rings
= 968+ 1064.8+ 2×2.64
= 2038.08 cm2
Hence the total surface area of the metal pipe is 2038.08 cm2.