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Question

A metal pipe is 77 cm77 cm long. The inner diameter of a cross-section is 4 cm4 cm, the outer diameter being 4.4 cm4.4 cm, then find its total surface area.
876750_029221705858404b9ddbb20da7e3123e.png

Solution
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Dimensions be :
R= Outer radius =4.42=2.2cm

r= Inner radius 42=2cm

Height h=77cm

Inner curved surface area =2πrh

=2×227×2×77

=968cm2

Outer curved surface area =2πRh

=2×227×4.2×77

=1064.8cm2

Total surface area =968+1064.8+2π×Ringsarea

=968+1064.8+2×[πR2πr2]

=968+1064.8+2×[227×(2.2)2227×(2)2]

=968+1064.8+2×227×[(2.2)2(2)2]

=968+1064.8+5.28

=2038.08

Total surface area =2038.08cm2.

Hence, the answer is 2038.08cm2.

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