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General
Easy

Question

A rectangular paper of 22 cm by 16 cm size can be exactly wrapped to cover the curved surface of a cylinder of 16 cm height. Find the volume of the cylinder?

hintHint:

Observe that the paper is wrapped by its length. So, the circumference of the cylinder is equal to the length of the paper. We use this information to get the volume.

The correct answer is: The volume of the cylinder is 616cm3.


    Explanations:
    Step 1 of 1:
    Let the base radius of the cylinder be r .
    We have 2 pi r equals 22
    not stretchy rightwards double arrow r equals 22 cross times 7 over 22 cross times 1 half
    not stretchy rightwards double arrow r equals 3.5 cm
    Given, h = 16cm
    Volume of the cylinder
    equals pi r squared h
    equals 22 over 7 cross times 35 over 10 cross times 35 over 10 cross times 16
    equals 616 cm3
    Final Answer:
    The volume of the cylinder is 616cm3.

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