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 1

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

Answer 2

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

$\fbox\red{Height\: of\: cylinder\: =\: Width\: of\: rectangle\: =\: 14cm}$

So,

Radius of cylinder = 20 cm

Height of cylinder = 14 cm

$\fbox\red{Volume\:of\: cylinder\: \: πr²h}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:π\:×\:(20)²\:×\:14$

$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\dfrac{22}{7}\:×\:(20)²\:×\:114$

$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\dfrac{22}{7}\:×\:20\:×\:20\:×\:14$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:22\:×\:20\:×\:20\:×\:2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:44\:×\:400$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:44\:×\:4\:×\:100$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:176\:×\:100$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\fbox\orange{17600\:cm³}$

Therefore, the volume of the cylinder = 17600 cm³