A rectangular paper of of length 14 cm is rolled along its width and a cylinder of radius 20 cm
is is formed. find the volume of the cylinder
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A rectangular paper of of length 14 cm is rolled along its width and a cylinder of radius 20 cm
is is formed. find the volume of the cylinder
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Answer:
Example 10 A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder (Fig 11.45)? (Take 22/7 for π) Since rectangle is rolled along its width to make cylinder Height of cylinder = Width of rectangle = 14 cmSo, Ra
Verified answer
Question:—
A rectangular paper of of length 14 cm is rolled along its width and a cylinder of radius 20 cm
is is formed. find the volume of the cylinder
Answer:—
Sonce rectangle is rolled along its width to make cylinder
[tex]\fbox\red{Height\: of\: cylinder\: =\: Width\: of\: rectangle\: =\: 14cm}[/tex]
So,
Radius of cylinder = 20 cm
Height of cylinder = 14 cm
[tex]\fbox\red{Volume\:of\: cylinder\: \: πr²h}[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:=\:π\:×\:(20)²\:×\:14[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:=\:\dfrac{22}{7}\:×\:(20)²\:×\:114[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:=\:\dfrac{22}{7}\:×\:20\:×\:20\:×\:14[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:22\:×\:20\:×\:20\:×\:2[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:44\:×\:400[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:44\:×\:4\:×\:100[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:176\:×\:100[/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\fbox\orange{17600\:cm³}[/tex]
Therefore, the volume of the cylinder = 17600 cm³