Math, asked by Heartkiller007, 7 months ago

6. Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height.. ​

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Answered by likitha72
8

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Answered by Anonymous
30

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Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height..

 \large\begin{gathered}\\\sf\ \: \boxed{\boxed{ \purple{{ \sf{given}}}}}\end{gathered}

Radius of cylinder = 0.7m

CSA of cylinder = 4.4m²

 \large\begin{gathered}\\\sf\ \: \boxed{\boxed{ \pink{{ \sf{to \: find}}}}}\end{gathered}

Height of cylinder

 \large\begin{gathered}\\\sf\\: \boxed{\boxed{ \purple{{ \sf{solution}}}}}\end{gathered}

Let's assume that height of cylinder be x

\begin{gathered}\sf \implies \: 2 \: \pi \: rh = 4.4m {}^{2} \\ \\ \sf\implies \: 2 \times \frac{22}{7} \times 0.7 \times x= 4.4m {}^{2} \\ \\ \sf\implies \: \frac{30.8}{7} x = 4.4m {}^{2} \\ \\ \sf\implies \: \boxed{\boxed{ \purple{{ \sf{x = 1m}}}}}\end{gathered}

Therefore, height of cylinder is 1 meter .

 \large\begin{gathered}\\\sf\\: \boxed{\boxed{ \purple{{ \sf{additional \: information\: }}}}}\end{gathered}

 \bf \: Volume \:  of  \: cylinder = πr²h \\ </p><p></p><p> \bf \: TSA = 2πrh + 2πr^2 \\ </p><p></p><p> \bf \: Radius(r) = √V/πh \\

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