Question

A rectangular sheet of paper 22cm x 11cm can be transformed into curved surface area of cylinder in two ways i.e., either by rolling the paper along its length or by rolling by its breadth. Find the ratio of volume of two cylinder thus formed​

Answer 1

Step-by-step explanation:

Let V

1

and V

2

be the volumes of two cylinders. When the sheet is folded along its length, it forms a cylinder of height h

1

=18cm and perimeter of base equal to 30cm. Let r

1

be the radius of the base. Then,

2πr

1

=30⇒r

1

=

π

15

∴V

1

=πr

1

2

h

1

=π×

π

2

225

×18cm

3

=

π

225

×18cm

3

Similarly, V

2

=πr

2

2

h

2

=π×(

π

9

)

2

×30cm

3

=

π

81×30

cm

3

∴

V

2

V

1

=

81×30

225×18

=

3

5

.