Question

if there is a cold drink can whose height is7cm and the radius of its round top is 3cm then what will be the lateral surface area of that cylinder(pr=3.14)​

Answer 1

$\large \; {\dag{\underline{\underline{\color{darkblue}{\pmb{\sf{ \; Given \; :- }}}}}}}$

• Height of can = 7 cm
• Radius of top = 3 cm

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$\large \; {\dag{\underline{\underline{\orange{\pmb{\sf{ \; To \; Find \; :- }}}}}}}$

• Lateral Surface Area = ?

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$\large \; {\dag{\underline{\underline{\green{\pmb{\sf{ \; Solution \; :- }}}}}}}$

$\maltese \; {\underline{\pmb{\frak{ Formula \; Used \; :- }}}}$

• ${\underline{\boxed{\purple{\sf{ Lateral \; Surface \; Area = 2 \pi rh }}}}}$

Where :

• ➬ ${\sf{ \pi = 3.14 }}$
• ➬ r = Radius
• ➬ h = Height

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$\maltese \; {\underline{\pmb{\frak{ Calculating \; the \; LSA \; :- }}}}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = 2 \pi rh } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = 2 \times 3.14 \times 3 \times 7 } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = 2 \times \dfrac{314}{100} \times 3 \times 7 } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = \cancel2 \times \dfrac{314}{\cancel{100}} \times 3 \times 7 } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = \dfrac{314}{50} \times 3 \times 7 } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = \dfrac{314}{50} \times 21 } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = \dfrac{6594}{50} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { LSA{\small_{(Can)}} = \cancel\dfrac{6594}{50} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; {\qquad{\red{\sf { Lateral \; Surface \; Area \; of \; Can = 131.88 \; {m}^{2} }}}} \\ \end{gathered}$

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$\maltese \; {\underline{\pmb{\frak{ Therefore \; :- }}}}$

❛❛ Lateral Surface Area of the can is 131.88 m² . ❜❜

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Answer 2

Answer:

Make reference to the attachment.

hope it helps you