Math, asked by jazzjoy8147, 1 year ago

A rectangular piece of paper of width 30 cm and length 77cm is rolled along it's width to form a cylinder . What is the volume if the cylinder so formed

Answers

Answered by Kanha221
82
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Answered by Anonymous
15

Given : A rectangular piece of paper of width 30 cm and length 77cm is rolled along it's width to form a cylinder.

To find : The volume of the cylinder.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the volume of the cylinder)

In this case,

  • Base circumference of the cylinder = Width of the rectangular paper = 30 cm
  • Height of the cylinder = Length of the rectangular paper = 77 cm

Let, the base radius of the cylinder = r cm

So, the base circumference :

= 2 × π × (radius)

= 2 × π × r

= 2πr cm

According to the data mentioned in the question,

2πr = 30

r = 30/2π

r = 15/π

So, the base radius = 15/π cm

Now, the volume of the cylinder will be :

= π × (radius)² × height

= π × (15/π)² × height

= (22/7) × 15 × 15 × (7/22) × (7/22) × 77

= 5512.5 cm³

(This will be considered as the final result.)

Hence, the volume of the cylinder is 5512.5 cm³

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