Fill in the blanks to make the correct statement.
Two cylinder A and B are formed by folding a rectangular sheets of dimensions 20cm 10cm along its length and also along its breadth respectively. Then volume of A is __________ of volume of B.

Question

Philoid · Accepted Answer

We have a rectangular sheet of dimension 20cm × 10cm

If we fold it along its length, which is 20cm,then the resultant figure

is a cylinder with height ,h = 10cm and

base circumference ,2πr = 20cm

r = cm

volume of the cylinder = πr²h

= π × × 10

= cm³ = v(say) (eq..i)

Again ,if we fold the rectangular sheet along its breadth ,which is 10cm ,the figure so obtained is a cylinder with height h = 20cm

And the base circumference 2πr = 10cm

r = =

volume of the cylinder = πr²h

= π × × 20

= cm³ = V(say) (….ii)

i.e. V = 2v

from eqs,(i) and (ii), we see that the volume of A is twice the volume of B.

Fill in the blanks to make the correct statement.Two cylinder A and B are formed by folding a rectangular sheets of dimensions 20cm 10cm along its length and also along its breadth respectively. Then volume of A is __________ of volume of B.