Question

4) If diameter of base is 14 cm and height
is 24 cm, find the curved surface area of
cylinder.​

Answer 1

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

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$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

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• Diameter of base is 14 cm

• Height of base is 24 cm

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$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

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• Curved surface area of cylinder

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$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

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➠ $\rm Radius = \dfrac { Diameter } { 2 }$

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➜ $\rm Radius = \dfrac { 14 } { 2 }$

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➜ $\rm Radius = 7 \: cm$

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• Hence the radius of base is 7 cm

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$\underline{\bold{\texttt{Curved surface area of cylinder :}}}$

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➠ 2πrh ⚊⚊⚊⚊ ⓵

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Where ,

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• r = Radius

• h = Height

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$\underline{\bold{\texttt{Curved surface area of given cylinder :}}}$

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• r = 7 cm

• h = 24 cm

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⟮ Putting the above values in ⓵ ⟯

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➜ 2πrh

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➜ $\sf 2 \times \dfrac { 22 } { 7 } \times 7\times 24$

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➜ 44 × 24

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➨ 1056 sq. cm.

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• Hence the curved surface area of cylinder is 1056 sq. cm.

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Additional information

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Total surface area of cylinder

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• 2πr(h + r)

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Where ,

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➻ r = Radius

➻ h = Height

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Volume of cylinder

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• πr²h

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Where ,

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➻ r = Radius

➻ h = Height

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Answer 2

$\Large{\underbrace{\sf{\red{Required\:Solution:}}}}$

Given thαt,

• Diαmeter of bαse = 14cm.
• And height = 24cm.

◾️We hαve to find the curved surfαce αreα of cylinder.

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$\large\star{\boxed{\sf{\red{ Radius = \dfrac{Diameter}{2}}}}}$

• Substitute the vαlues αnd simplify.

$\implies{\sf{ \dfrac{14}{2}= 7cm}}$

Therefore, the rαdius is 7cm.

Now,

$\large\star{\boxed{\sf{\red{ Curved\:surface\:area_{(cylinder)} = 2\pi rh}}}}$

• Substitute the vαlues αnd simplify.

:$\implies{\sf{ 2\times \dfrac{22}{7} \times 7cm \times 24cm}}$

:$\implies{\sf{ 2\times \dfrac{22}{\cancel{7}} \times \cancel{7cm} \times 24cm}}$

:$\implies{\sf{ 2\times 22\times 24}}$

$\large\implies{\boxed{\sf{\red{ 1,056cm^{2}}}}}$

Hence, the curved surfαce αreα of the cylinder is 1,056cm².

And we αre done! :D

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