Multiple choice

A rectangular paper of width $14$ cm is rolled along its width and a cylinder of radius $20$ cm is formed. What will be volume of the cylinder ?

  1. $17600$ $cm^3$
  2. $16600$ $cm^3$
  3. $156600$ $m^3$

  4. None of these
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A Correct answer
Explanation

Rolling a paper of width 14cm along its width means the height of the cylinder is 14cm. The circumference of the base is the length of the paper, but here the radius is given as 20cm. Volume = pi * r^2 * h = 3.14 * 20^2 * 14 = 3.14 * 400 * 14 = 17584, which is approximately 17600.

AI explanation

Rolling the paper along its width makes the width the height of the cylinder, so h = 14 cm, and the radius is r = 20 cm. Using the cylinder volume formula V = pi r squared h, we get V = 22/7 times 400 times 14. Multiplying these values gives a volume of 17600 cubic cm.

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