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Step-by-step explanation:
Given that it is rolled along its length. Hence, the length would become the circumference of the base of the cylinder and the breadth will be the height.
So, circumference of base = 2πr = 88
Taking π as 22/7, we get
2 × 22/7 × r = 88
=> 44/7 × r = 88
=> r = 88 × 7/44
=> r = 14 cm
So, now we have r = 14 cm, h = 20 cm, so capacity = πr²h
= 22/7 × 14 × 14 × 20
= 12,320 cm³
Answer :- 12,320 cm³
Answered by
10
Length of rectangle = 88 cm
Breadth of rectangle = 20 cm
It is given that rectangle made of paper is filled along the length to form a cylinder.
Therefore,
Circumference of cylinder = 88
Also, Circumference of circle = 2πr
Here, r = radius of cylinder
•°• 2πr = 88
2 × 22 / 7 × r = 88
44 / 7 × r = 88
1 / 7 × r = 2
r = 14 cm
Now,
Capacity of cylinder = Volume of cylinder = πr²h
= 22 / 7 × ( 14 )² × 20
= 22 × 14 × 2 × 20
= 12320 cm³
Breadth of rectangle = 20 cm
It is given that rectangle made of paper is filled along the length to form a cylinder.
Therefore,
Circumference of cylinder = 88
Also, Circumference of circle = 2πr
Here, r = radius of cylinder
•°• 2πr = 88
2 × 22 / 7 × r = 88
44 / 7 × r = 88
1 / 7 × r = 2
r = 14 cm
Now,
Capacity of cylinder = Volume of cylinder = πr²h
= 22 / 7 × ( 14 )² × 20
= 22 × 14 × 2 × 20
= 12320 cm³
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