A rectangular sheet of paper, 44cm*20cm is rolled along its length to

1.	A rectangular sheet of paper, 44cm*20cm is rolled along its length to form a cylinder. Find the volume of the cylinder
Answer» Solution : $\bf{\red{\underline{\bf{Given\::}}}}}$ A rectangular SHEET of paper, 44cm × 20 cm is ROLLED along its LENGTH to form a cylinder. $\bf{\red{\underline{\bf{To\:find\::}}}}}$ The VOLUME of the cylinder. $\bf{\red{\underline{\bf{Explanation\::}}}}}$ We know that formula of the volume of cylinder; $\boxed{\bf{Volmue\:=\pi r^{2} h}}}}$ We have rectangular sheet : Length = 44 cm Breadth = 20 cm Since the we know that the length of the rectangular sheet equal to the circumference. $\boxed{\bf{Circumference\:=2\pi r }}}}$ $\longrightarrow\sf{2\pi r=44}\\\\\longrightarrow\sf{2\times \dfrac{22}{7} \times r=44}\\\\\longrightarrow\sf{\dfrac{\cancel{44}}{7} \times r=\cancel{44}}\\\\\longrightarrow\sf{r=\dfrac{44\times 7}{44}} \\\\\longrightarrow\sf{\orange{r=7\:cm}}$ Now; Radius = 7 cm Height = 20 cm $\longrightarrow\sf{Volume\:_{cylinder}=\pi r^{2} h}\\\\\\\longrightarrow\sf{Volume\:_{cylinder}=\dfrac{22}{\cancel{7}} \times \cancel{7}\times 7\times 20}\\\\\\\longrightarrow\sf{Volume\:_{cylinder}=(22\times 7\times 20)\:cm^{3} }\\\\\\\longrightarrow\sf{\orange{Volume\:_{cylinder}=3080\:cm^{3} }}$ Thus; The volume of cylinder is 3080 cm³ .

A rectangular sheet of paper, 44cm*20cm is rolled along its length to form a cylinder. Find the volume of the cylinder

Answer»

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}}$

A rectangular SHEET of paper, 44cm × 20 cm is ROLLED along its LENGTH to form a cylinder.

$\bf{\red{\underline{\bf{To\:find\::}}}}}$

The VOLUME of the cylinder.

$\bf{\red{\underline{\bf{Explanation\::}}}}}$

We know that formula of the volume of cylinder;

$\boxed{\bf{Volmue\:=\pi r^{2} h}}}}$

We have rectangular sheet :

Length = 44 cm

Breadth = 20 cm

Since the we know that the length of the rectangular sheet equal to the circumference.

$\boxed{\bf{Circumference\:=2\pi r }}}}$

$\longrightarrow\sf{2\pi r=44}\\\\\longrightarrow\sf{2\times \dfrac{22}{7} \times r=44}\\\\\longrightarrow\sf{\dfrac{\cancel{44}}{7} \times r=\cancel{44}}\\\\\longrightarrow\sf{r=\dfrac{44\times 7}{44}} \\\\\longrightarrow\sf{\orange{r=7\:cm}}$

Now;

Radius = 7 cm
Height = 20 cm

$\longrightarrow\sf{Volume\:_{cylinder}=\pi r^{2} h}\\\\\\\longrightarrow\sf{Volume\:_{cylinder}=\dfrac{22}{\cancel{7}} \times \cancel{7}\times 7\times 20}\\\\\\\longrightarrow\sf{Volume\:_{cylinder}=(22\times 7\times 20)\:cm^{3} }\\\\\\\longrightarrow\sf{\orange{Volume\:_{cylinder}=3080\:cm^{3} }}$

A rectangular sheet of paper, 44cm*20cm is rolled along its length to form a cylinder. Find the volume of the cylinder

Solution :

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