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(C) Let the side of the square be $x$.When the square is rolled along its length to form a cylinder,the length of the side becomes the circumference o

Vedclass · Accepted Answer

$7: 44$

Vedclass · Answer

(C) Let the side of the square be $x$.When the square is rolled along its length to form a cylinder,the length of the side becomes the circumference of the base of the cylinder.Therefore,the circumference of the base $= 2 \pi r = x$.From this,the radius $r = \frac{x}{2 \pi}$.The required ratio of the base radius of the cylinder to the side of the square is $\frac{r}{x}$.Substituting the value of $r$,we get $\frac{\frac{x}{2 \pi}}{x} = \frac{1}{2 \pi}$.Using $\pi = \frac{22}{7}$,the ratio becomes $\frac{1}{2 	imes \frac{22}{7}} = \frac{7}{44}$.Thus,the ratio is $7: 44$.

$A$ square sheet of paper is converted into a cylinder by rolling it along its length. What is the ratio of the base radius of the cylinder to the side of the square?

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