Math, asked by shudiksha26, 1 year ago

plz answer it fast......​

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Answers

Answered by RajputArshia
2

Here's your answer is......................

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Answered by Anonymous
117

\large{\underline{\underline{\mathfrak{\green{\sf{QUESTION :-}}}}}}.

  • The area of base of a right circular cylinder 154 cm² and its height is 8 cm , find the curved surface area of the cylinder .

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\large{\underline{\underline{\mathfrak{\bf{SOLUTION:-}}}}}.

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\large{\underline{\underline{\mathfrak{\bf{GIVEN\:HERE:-}}}}}.

  • The area of base of a right circular cylinder 154 cm² .

  • height of cylinder (h) = 8 cm.

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\large{\underline{\underline{\mathfrak{\bf{\:FIND\:HERE:-}}}}}

  • the curved surface area of the cylinder .

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\large{\underline{\underline{\mathfrak{\bf{\:EXPLANATION:-}}}}}.

WE KNOW,

Area of base of a right circular cylinder

\bold{\boxed{\boxed{\:Area\:=\:\pi\:r^2}}}

\leadsto\:154\:=\:\pi\:r^2

\leadsto\:r^2\times\frac{22}{7}\:=\:154

\leadsto\:r^2\:=\:\frac{(\cancel{154}\times\:7)}{\cancel{22}}

\leadsto\:r^2\:=\:(7\times\:7)

\leadsto\:r\:=\sqrt{49}

\leadsto\:r\:=\sqrt{(7\times\:7)}

\bold{\boxed{\boxed{\:r\:=\:7}}}..(1)

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Now,

The curved surface area of cylinder

\bold{\boxed{\boxed{\:CSA\:=\:2\pi\:rh}}}

\leadsto\:CSA\:=\:2\times\:\cancel{7}\times\frac{22}{\cancel{7}}\times8

\leadsto\:CSA\:=\:2\times\:22\times8

\bold{\boxed{\boxed{\:CSA\:=\:352 cm^2}}}

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\bold{\underline{\underline{\:Using\:Formula:-}}}

  • \:Area\:of\:Circle\:=\pi\:r^2

  • \:CSA\:=\:2\pi\:rh

  • \pi\:=\frac{22}{7}

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