a rectangular piece of paper 22 ×8 cm is folded without overlapping to make a cylinder of height 8 cm find the volume
Answers
Answer:
The volume of cylinder is 308 cm³
Step-by-step explanation:
★ Find the Volume of Cylinder :
Given :
Dimensions of rectangular piece of paper :
Length = 22 cm
Breadth = 8 cm
When rectangular paper is folded it forms a cylinder (shape)
So,
• Breadth of rectangular paper = Height of cylinder
• Length of rectangular paper = Circumference of base
Cylinder dimensions :
Height = 8 cm
Circumference of base = 22 cm
Solution :
Find the radius :
Circumference of circle = 2 π r
⇒ 2 × 22 / 7 × r = 22
⇒ 6.2857 r = 22
⇒ r = 22 / 6.2857
⇒ r = 3.5 cm
___________________________
★ Volume of cylinder :
Volume of cylinder = π r²h
⇒ 22 / 7 × 3.5 × 3.5 × 8
⇒ 22 / 7 × 12.25 × 8
⇒ 22 / 7 × 98
⇒ 308
Volume of cylinder = 308 cm³
Therefore,
The volume of cylinder is 308 cm³
Step-by-step explanation:
Length = 11 cm
Breadth = 4 cm.
When the rectangle is converted into a cylindrical shape
Since the rectangle is rolled along it's width to make cylinder.
Height of cylinder = Width of rectangle = 4 cm
Let the radius of the cylinder be r
∴ Perimeter of the cylinder = length of the rectangle.
So by the formula of circumference circle
2πr=11
⇒2×
7
22
×r=11
⇒
7
44
×r=11
⇒r=11×
44
7
=
4
7
Volume of cylinder = πr
2
h
=
7
22
×
4
7
×
4
7
×4
=
2
77
=38.5cm³