Question

a rectangular piece of paper 44cm× 7cm is folded without overlapping to make a cylinder of height 7cm.find the volume of the cylinder​

Answer 1

Given :

• Length of a rectangular paper = 44 cm
• Breadth of a rectangular paper = 7 cm
• Height of a cylinder = 7 cm

To find :

• Volume of the cylinder

Knowledge required :-

→ Formula of circumference :-

• Circumference = 2πr

→ Formula of volume of cylinder :-

• Volume of cylinder = πr²h

where,

• Take π = 22/7
• r = radius
• h = height

Solution :

Length of the rectangular paper = Circumference

⠀⠀⠀⇒ Circumference = 2πr

⠀⠀⠀⇒ 44 = 2 × 22/7 × r

⠀⠀⠀⇒ 44 = 44/7 × r

⠀⠀⠀⇒ 44 × 7/44 = r

⠀⠀⠀⇒ 7 = r

Radius of the cylinder = 7 cm

Volume of the cylinder :-

⠀⠀⠀⇒ Volume = πr²h

⠀⠀⠀⇒ Volume = 22/7 × (7)² × 7

⠀⠀⠀⇒ Volume = 22/7 × 7 × 7 × 7

⠀⠀⠀⇒ Volume = 22 × 7 × 7

⠀⠀⠀⇒ Volume = 1078

Volume of the cylinder = 1078 cm³

Answer 2

Given :-

• Length of Paper = 44cm
• Breadth of Paper = 7cm
• Height of Cylinder = 7cm

To Find :-

• Volume of Cylinder

Solution :-

❏ As we know that, Length of Paper = Circumference of Cylinder Therefore :

➟ Circumference = 2πr

➟ 44 = 2 × 22/7 × r

➟ 44 / 2 = 22/7 × r

➟ 22 = 22/7 × r

➟ 22 × 7 / 22 = r

➟ 7cm = radius

Now,

⟾ Volume of Cylinder = πr²h

⟾ Volume of Cylinder = 22/7 × (7)² × 7

⟾ Volume of Cylinder = 22/7 × 7 × 7 × 7

⟾ Volume of Cylinder = 22/7 × 49 × 7

⟾ Volume of Cylinder = 22 × 49

⟾ Volume of Cylinder = 1078cm³

Thus Volume of Cylinder is 1078cm³

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