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Answer 1

Answer:

The volume of cylinder is 17600 cm³.

Base area of cylinder is 1257.14 cm².

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Step-by-step explanation:

Question :

A rectangular paper of with 24 cm is rolled along its width and a cylinder of radius 20 m is formed. Then, the volume and the base area of cylinder.

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Solution :

Here,

Since the rectangle is rolled along its width to make cylinder. So,

• ✧ Width of rectangle = height of cylinder

Now, here we have given that :

• ✧ Radius of cylinder = 20 cm
• Height of cylinder = 14 cm.

Now, we know the radius and height of cylinder are 20 cm and 14 cm. So, finding the volume of cylinder by using formula :

$\longrightarrow{\pmb{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}$

Where :

• ✧ π denotes 22/7
• ✧ r denotes radius
• ✧ h denotes height

Substituting all the given values in the formula to find volume of cylinder :

${\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{22}{7} \times {(20)}^{2} \times 14}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{22}{7} \times {(20 \times 20)} \times 14}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{22}{7} \times 400 \times 14}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{22}{\cancel{7}}\times 400 \times \cancel{14}}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 22 \times 400 \times 2}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 44 \times 400 }}}$

${\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Cylinder)} = 17600 \: {cm}^{3}}}}}}}$

Hence, the volume of cylinder is 17600 cm³.

$\rule{300}{1.5}$

We know the radius of cylinder is 20 cm. Then, Finding the base area of cylinder by using formula :

${\longrightarrow{\pmb{\sf{Base \: Area_{(Cylinder)} = \pi{r}^{2}}}}}$

Where :

• ✧ π denotes 22/7
• ✧ r denotes radius

Substituting all the given values in the formula to find base area of cylinder :

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \pi{r}^{2}}}}$

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \dfrac{22}{7} \times {(20)}^{2}}}}$

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \dfrac{22}{7} \times {(20 \times 20)}}}}$

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \dfrac{22}{7} \times {(400)}}}}$

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \dfrac{22}{7} \times 400}}}$

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \dfrac{22 \times 400}{7}}}}$

${\longrightarrow{\sf{Base \: Area_{(Cylinder)} = \dfrac{8800}{7}}}}$

${\longrightarrow{\sf{\underline{\underline{\red{Base \: Area_{(Cylinder)} \approx 1257.14 \: {cm}^{2}}}}}}}$

Hence, the base area of cylinder is 1257.14 cm².

$\begin{gathered}\end{gathered}$

Learn More :

Here's the given some formulas related to cylinder. For clear understanding please visit to website Brainly.in.

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{minipage}{6.2 cm}\bigstar \:\underline{\textbf{Formulae Related to Cylinder :}}\\\\\sf {\textcircled{\footnotesize\textsf{1}}} \:Area\:of\:Base\:and\:top =\pi r^2 \\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:Curved \: Surface \: Area =2 \pi rh\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Total \: Surface \: Area = 2 \pi r(h + r)\\ \\{\textcircled{\footnotesize\textsf{4}}} \: \:Volume=\pi r^2h\end{minipage}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

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Answer 2

Answer:

Learn More :

Here's the given some formulas related to cylinder. For clear understanding please visit to website Brainly.in.

Step-by-step explanation:

$\color{olive}\boxed{\begin{array}{l}\bigstar\:\underline{\textbf{Formulae Related to Cylinder :}}\\\\\sf {\textsf{1}} \:Area\:of\:Base\:and\:top =\pi r^2 \\\\ \sf \textsf{2} \:\:Curved \: Surface \: Area =2 \pi rh\\\\\sf\textsf{3} \:\:Total \: Surface \: Area = 2 \pi r(h + r)\\ \\ \sf\textsf{4} \: \:Volume=\pi r^2h\end{array}}$