A rectangular piece of paper is 44cm long and 18cm wide.if a cylinder is formed by rolling the paper along its length,then the radius of the base of the cylinder is?
Answers
Answer:
Step-by-step explanation:
Given :
A rectangular sheet of paper is 44cm long and 20cm wide.
According to the question,
The rectangular sheet is rolled along it's length so that the breadth are in contact with each other.
It becomes a cylinder,
the length = circumference of cylinder
the breadth = height of cylinder
Now,
height of cylinder is 20 cm
radius = ?
let radius be r
circumference of cylinder = 2πr
=> 44 = 2πr
=> 44 = 2××r
=> 44 = ×r
=> 44× = r
=> 7 = r
Therefore, radius of the cylinder is 7 cm.
Now,
Volume of the cylinder = πr²h
Volume of the cylinder = ×(7)²× 20
Volume of the cylinder = ×49 × 20
Volume of the cylinder = 3080cm²
A rectangular piece of paper is 44cm long and 18cm wide.if a cylinder is formed by rolling the paper along its length,then the radius of the base of the cylinder is?circumference of base is 18cm
2*pi*r=18
r=18/(2*pi)
pi=3.142
r=18/6.283
r=2.86 cm
