Question

C.S.A Of a right circular cylinder is 440cm2 and radius of its circluar base 7cm
. find the value of the cylinder

Answer 1

Correct Question:-

• C.S.A of a right circular cylinder is 440cm² and radius of its circluar base 7cm. Find the Volume of the cylinder.

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Given:-

• CSA of cylinder = 440cm²

• Radius of its base = 7cm

To Find:-

• Volume of the cylinder

Formula Used:-

• ${\boxed{\sf{CSA\:of\: Cylinder=2\pi rh}}}$

• ${\boxed{\sf{Volume\:of\: Cylinder=\pi r^2h}}}$

Solution:-

Firstly,

$\sf :\implies\:CSA\:of\: Cylinder=2\pi rh$

$\sf :\implies\:440=2\times \dfrac{22}{7}\times 7\times h$

$\sf :\implies\:440=44h$

$\sf :\implies\:h=\dfrac{440}{44}$

$\sf :\implies\:h=\dfrac{110}{11}$

$\sf :\implies\:h=10cm$

Now,

$\sf :\implies\:Volume\:of\: Cylinder=\pi r^2h$

$\sf :\implies\:Volume\:of\: Cylinder=\dfrac{22}{7}\times7\times7\times10$

$\sf :\implies\:Volume\:of\: Cylinder=1540cm^3$

Hence, The Volume of Cylinder is 1540m³.

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Answer 2

☆ Required Question :

• C.S.A of a right circular cylinder is 440cm² and radius of its circluar base 7cm. Find the volume of the cylinder.

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❭❭ Given :

• Curved Surface Area of a Right Circular Cylinder ↠ 440cm²
• Radius of its Circular Base ↠ 7cm

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❭❭ Find :

• Volume of Cylinder.

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❭❭ Formula Used :

• ${\blue{\mathtt{CSA\:=\:2 \pi r \tt h}}}$

• ${\blue{\mathtt{Volume\:of\:the\:Cylinder\:=\:\pi r}^{2}\tt h}}$

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❭❭ Solution :

• First, we find Curved Surface Area :

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Putting Formula,

$\:\:\:\:\:\:\:\bigstar\:{\blue{\mathtt{CSA\:=\:2\pi rh}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{440\:=\:2\:\times\:{\dfrac{22}{7}}\:\times\:7\:\times\:h}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{h\:=\:{\dfrac{440}{2\:\times\:22}}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{h\:=\:10}}$

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• The height is 10cm.

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• Now, we find Volume of Cylinder.

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Putting Formula,

$\:\:\:\:\:\:\:\bigstar\:{\blue{\mathtt{Volume\:of\:the\:Cylinder\:=\:\pi r}^{2}\tt h}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{V\:=\:{\dfrac{22}{7}}\:\times\:(7)²\:\times\:10}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{1540\:cm}^{3}}$

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$\:\:\:\therefore\:{\underline{\sf{The\:Volume\:of\:Cylinder\:is\:{\textsf{\textbf{1540\:cm³}}}}}}.$

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❖ Note :

• Curved Surface Area of the Cone is equal to the Area of the Sector.

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