Question

What is the remainder of a 30 cm long and 25 cm wide rectangular sheet with a radius of 10 cm? Take (૪ = 14.14)​

Answer 1

Answer:

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

.