a metal pipe is 154cm long the inner diameter of a cross section is 8cm the outer diameter being 8.8cm find its total surface area
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Answer:
Length =77cm,
Inner diameter =4cm, hence inner radius (r)=2cm
outer daimeter =4.4cm, hence outer radius (R) =2.2cm
Height of the pipe =length
⇒Inner surface area ( inner CSA) = 2πrh
⇒ Inner CSA = 2×722×2×77
⇒Inner CSA = 968cm2
Outer CSA= 2πRh
⇒Outer CSA = 2×722×2.2×77
⇒Outer CSA= 1064.8cm2
Now the total surface area on the ends = 2π(R−r)(R+r)
⇒2×722×4.2×0.2
⇒5.28 cm
The total surface area=outer CSA + Inner CSA + TSA on the ends
The total surface area = 1068.8+968+5.28
The toal surface area = 2038.08 cm2
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