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

Explanation:

Surface Areas and Volumes

Volume of Cube, Cuboid and Cylinder

A Rectangular piece of pape...

MATHS

A Rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder.

MEDIUM

Share

Study later

ANSWER

Given a Rectangular piece of paper 11cm×4cm is folded without overlapping to make a cylinder of height 4 cm

The length of the paper becomes the circumference of the base of the cylinder and width becomes height.

Let radius of the cylinder=r and height=h

Circumference of the base of cylinder =2πr=11cm

⇒2×

7

22

×r=11

∴r=

4

7

cm

Now h=4cm

Volume of the cylinder (V)=πr

2

h

=

7

22

×

4

7

×

4

7

×4cm

3

=38.5cm

3