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Question

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 space inside the cylinder.

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Solution

When a rectangle is rolled across the length, the height of the formed cylinder will be equal to the breadth of the rectangle, i.e. 5 cm.
And, the length of the rectangle will be equal to the circumference of the circular base of the cylinder, i.e. 10 cm.
[0.5 mark]

Thus, using that we can find the radius of a cylinder as

2πr=10r=102πr=5π cm
[0.5 mark]

Thus, volume of cylinder
=πr2h=3.14×(53.14)2×5=1253.14=39.809 cm3
[1 mark]


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