Question

A rectangular piece of paper 11 cm × 14 cm is folded without overlapping to make a cylinder of height 14 cm. Find the volume of the cylinder.

Answer 1

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

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Answer 2

Answer:

38.5 cm³

Step-by-step explanation:

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 × 22/7 × r = 11

Therefore, r = 7/4 cm

Now h=4cm

Volume of the cylinder (V)=πr²h

= 22/7 × 7/4 × 7/4 = 4 cm³

= 38.5 cm³

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