Question

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

Answer 1

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

Answer 2

$\underbrace{your \: final \: answer \: is \: below}$

The volume of cylinder is 308 cm³

$\bold{now}$

★ 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