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
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