a rectangular piece of paper 22 ×8 cm is folded without overlapping to make a cylinder of height 8 cm find the volume
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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
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