Multiple choice

A rectangular paper of width 7 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder (in cubic cm).

  1. 8800 cubic cm

  2. 8600 cubic cm

  3. 8700 cubic cm

  4. 8900 cubic cm

  5. 8885 cubic cm
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A Correct answer
Explanation

When a rectangular paper is rolled along its width, the width becomes the height of the cylinder, and the length becomes the circumference. However, the problem states the width is 7 cm and the cylinder radius is 20 cm. Volume = pi * r^2 * h = (22/7) * 20^2 * 7 = 22 * 400 = 8800.

AI explanation

When the paper is rolled along its width, the height of the cylinder becomes 7 centimeters and the circumference of its base is 2 times pi times 20, which equals 40 times pi. The volume of a cylinder is pi times radius squared times height. Therefore, the volume is pi times 400 times 7, which equals 2800 times 3.14 or 8800 cubic centimeters.

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