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Probability

Question
CBSEENMA9003533
Wired Faculty App

A rectangular piece of paper is 22 cm long and 12 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.

open parentheses Use space straight pi equals 22 over 7 close parentheses

Solution

When the rectangular piece of paper is rolled along its length, then the length of the piece forms the circumference of the base and the breadth of the piece becomes the height of the cylinder.
Let the base radius and height of the cylinder be r cm and h cm respectively.
Then,
therefore space straight r space equals space 22
rightwards double arrow space space space space space space space space space space space space 2 cross times 22 over 7 cross times straight r equals 22 rightwards double arrow space space space space space space space space space space space space straight r equals 7 over 2 space cm space space space space space space space space space space space straight h space equals space 12 space cm
therefore   Volume of the cylinder = πr squared straight h
             = 22 over 7. open parentheses 7 over 2 close parentheses squared space left parenthesis 12 right parenthesis
             = 4622

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