3. A rectangular paper of width 28 cm is rolled along its width and a cylinder of radius 40 cm is
formed. Find the volume of the cylinder.
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3. A rectangular paper of width 28 cm is rolled along its width and a cylinder of radius 40 cm is
formed. Find the volume of the cylinder.
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Given -
Width of a rectangular paper = 28cm
Now the rectangular paper is rolled along with its width to form a cylinder of radius = 30cm
Solution -
According to Question the rectangular paper is rolled from its Width therefore
Height of Cylinder = 28cm
Now We know that
[tex]\boxed{\mathbf{Volume\: of \:Cylinder \:= πr^2 × h}}[/tex]
Where ,
H = Height = 28cm
H = Height = 28cm R = Radius = 30cm
Now Putting Values in the above formula we have
[tex]\mathbf{Volume = \pi \: {30cm}^{2} \times 28cm}[/tex]
[tex]\mathbf{= \pi \: 900{cm}^{2} \times 28 cm } [/tex]
Now Putting value of ' π ' = 22 / 7 Approx
We have ,
[tex]\mathbf{Volume = \dfrac{22}{7}\: 900{cm}^{2} \times 28cm}[/tex]
Cancelling denominator 7 with numerator 28cm
we have ,
[tex]\mathbf{Volume = \dfrac{22}{\cancel{7}} \times \cancel{28cm} \times 900\:cm^2}[/tex]
[tex]\mathbf{ = 22 \: 4cm \times 900{cm}^{2} }[/tex]
[tex]\mathbf{ = 88cm \times 900{cm}^{2} }[/tex]
[tex]\therefore \sf{We \: have}[/tex]
[tex]\boxed{\mathbf{Volume = 79,200{cm}^3}}[/tex]
Hence Required Answer =>
[tex]\boxed{\mathbf{79,200{cm}^{3}}}[/tex]
HOPE THIS HELPS ❤️☺️
BE BRAINLY ⚡☃️
[tex]{\tt{\red{\underline{\underline{\huge{✿ Solution✿
}}}}}}[/tex]
A rectangular paper of width 28 cm is rolled along its width to form a cylinder.
Height of cylinder = h = 28 cm = width of rectangular paper.
And,
Radius of cylinder = r = 40 cm.
So, Volume of the cylinder = πr²h
=22/7×40×40×28
=140800cm³
∴ Volume of the cylinder = 140800cm³. (Answer).
Explanation:
[tex] \huge \fbox \pink {Hope \: it \: helps \: you}[/tex]