Maths-
General
Easy

Question

A Rectangular sheet of paper 44 cm x 18 cm is rolled along its length and a cylinder is formed. What is the volume of the cylinder so formed?

hintHint:

If a rectangular sheet of paper is rolled along its length to form a cylinder, then its length becomes the circumference of the cylinder base and its width becomes the height of the cylinder.

The correct answer is: The volume of the cylinder so formed is 2772 cm3.


    Explanations:
    Step 1 of 3:
    The length and width of a rectangular sheet of paper are given by, 44 cm and 18 cm, respectively.
    As per the hint, if the paper is rolled along its length to form a cylinder, then the height of the cylinder would be 18 cm(= h), and the circumference of the cylinder base would be 44 cm.
    Step 2 of 3:
    Therefore, 2 pi r equals 44 not stretchy rightwards double arrow r equals 44 cross times 7 over 22 cross times 1 half equals 7 cm
    The radius of the cylinder formed is 7 cm(= r).
    Step 3 of 3:
    The volume of the formed cylinder is pi r squared h equals 22 over 7 cross times 7 squared cross times 18 equals 2772 cm3
    Final Answer:
    The volume of the cylinder so formed is 2772 cm3.

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