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a metallic pipe is 0.7 cm thick .Inner radius of the pipe is 3.5 cm and length is 5 dm .Find its total surface area |
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Answer» :Total surface area of pipe is 2453.88cm²Given :Thickness of pipe is 0.7minner radius of pipe (R) is 3.5cmLength is 5dm = 50 cm External radius of the pipe (R) = (3.5 + 0.7) = 4.2 CMTO find :Total surface areaSolution :Given that , a metallic pipe is 0.7 cm thick and inner radius of the pipe is 3.5 , length is 5 dm which means 50 cm and ALSO find the External radius . so we have to use the formula of total surface area then we get total surface area of pipe External radius of the pipe (R) = (3.5 + 0.7) = 4.2 cmAs we know that Total surface area of pipe = 2π (r + R) (h + R - r)where , r is inner radius 3.5cm , R is External radius 4.2cm , h is 50cm.⟹ TSA of pipe = 2π (r + R) (h + R - r)⟹ TSA of pipe = 2 × 22/7 (3.5+ 4.2) (50 + 4.2 - 3.5)cm²⟹ TSA of pipe = 44/7 × 7.7 × 50.7 cm²⟹ Total surface area of pipe = 2453.88cm²∴Total surface area of pipe is 2453.88cm² |
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