If a sheet of paper of length 10 cm and breadth 5 cm is rolled along its length to form a cylinder, then find the volume of the cylinder. Take π = 3.14.
39.809 cm3
When a rectangle is rolled across the length, then the height of cylinder formed will be same as the width of the rectangle, i.e., 5 cm and the length of the rectangle will be the circumference of the circular base of the cylinder.
⟹2πr=10
⇒ r = 5π
∴ Volume of cylinder =πr2h
=3.14×253.142×5
=39.809 cm3