Question

Find the total surface area of an open pipe of lenght 50 cm, external diameter 20 cm, and internal diameter 6 cm.

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Answer 1

Step-by-step explanation:

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★ Given :-

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• Lenght of the pipe = 50 cm

• External Diameter = 20 cm
• External Radius = 10 cm

• lnternal Diameter = 6 cm
• lnternal Radius = 3 cm

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★ To Find :-

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• Total Surface Area of the Pipe.

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★ Solution :-

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⠀⠀$\maltese \: \textsf \red{Area \: of \:the \: Pipes \: of \: 2 \: sides} \: \maltese \\ \\ \bold{ = 2\pi \: Rh + 2\pi \: rh} \\ \\ \bold{ =2\pi \: h \: (R + r) } \\ \\ \bold{ = 2 \times \frac{22}{7 } \times 50 \times (10 + 3)} \\ \\ \bold{ = \frac{2 \times 22 \times 50 \times 13}{7} } \\ \\ \bold{ = \cancel\frac{28600}{7} } \\ \\ \longmapsto \boxed{ \textsf \pink{ 4085.71 cm} {}^{2} } \\ \\ \\ \\ \maltese \: \textsf \red{Area of the both Parts} \: \maltese \\ \\ \bold{ = 2\pi \: ( {R}^{2} - {r}^{2} )} \\ \\ \bold{ = 2 \times \frac{22}{7} \times (1062 - {3}^{2} )} \\ \\ \bold{ = 2 \times \frac{22}{7} \times 91} \\ \\ \bold{ = \frac{2 \times 22 \times 91}{7} } \\ \\ \bold{ = \cancel\frac{4004}{7} } \\ \\ \longmapsto \boxed{ \textsf \pink{572 \: cm}{}^{2} }$

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★ Hence,

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⠀⠀⠀⠀⠀✠ The Total Surface Area =

⠀⠀⠀⠀⠀⠀$\mapsto\textsf{4085.71 cm + 572 cm}$

⠀⠀⠀⠀⠀⠀⠀⠀$\mapsto\textsf\red{ 4,657.71 cm}$

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