Question

A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius of 10 cm is formed find the volume of the cylinder.​

Answer 1

Given:-

• Height of the cylinder is 14 cm.
• Radius of the cylinder is 20 cm.

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To find:-

• Volume of the cylinder.

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Solution:-

Here,

• Height (h) = 14 cm
• Radius (r) = 20 cm

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☆Volume of cylinder = πr²h

→ 22/7 × 20 × 20 × 14

→ 22 × 20 × 20 × 2

→ 44 × 20 × 20

→ 44 × 400

→ 17600 cm³

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Hence,

• the volume of the cylinder is 17600 cm³.

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★More to know :-

$\sf{Area\;of\;Rectangle\;=\;Length\;\times\;Breadth}$

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$\sf{Area\;of\;Square\;=\;(Side)^{2}}$

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$\sf{Area\;of\;Triangle\;=\;\dfrac{1}{2}\;\times\;Base\;\times\;Height}$

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$\sf{Area\;of\;Parallelogram\;=\;Base\;\times\;Height}$

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$\sf{Area\;of\;Circle\;=\;\pi r^{2}}$

$\sf{Perimeter\;of\;Rectangle\;=\;2\;\times\;(Length\;+\;Breadth)}$

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$\sf{Perimeter\;of\; Square\;=\;4\;\times\;(Side)}$

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$\sf{Perimeter\;of\;Circle\;=\;2\pi r}$

Answer 2

Question :-

→ A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius of 10 cm is formed find the volume of the cylinder.​

Given :-

→ Height of this cylinder = 14 cm

→ Radius of this cylinder = 10 cm

To Find :-

→ Volume of this cylinder

Solution :-

→ As we know that ,

$\huge{\orange{\underline{\underline{Volume\;of\;cylinder\;=\pi r^{2}h}}}}$

→ By substituting the values :

$\sf Volume\;of\;this\;cylinder\;=\; 2\pi r^{2}h\\\\\longrightarrow 2 \times \dfrac{22}{7} \times 10 \times 10 \times 14 \\\\\longrightarrow 2 \times 22 \times 10 \times 10 \times 2 \\\\\longrightarrow 8800\;cm^{3}$

∴ Volume of this cylinder is 8800 cm³