Question

a length 550cm of thin thread wraps around a cylinder exactly 25 times .Calculate circumference and radius of cylinder.

Answer 1

From the information, we get;

Circumference of the cylinder

$= \frac{550}{25} cm \\ = 22 \: cm$

And radius

$=\frac{22}{2\pi} \\ = 22 \times \frac{7}{44} \\ = 3.5 \: cm$

HOPE THIS COULD HELP!!!

Answer 2

Given :

Length of thread , L = 550 cm .

Number of times it warps cylinder , n = 25 .

To Find :

Circumference and radius of cylinder.

Solution :

We know , the thread wraps around a cylinder exactly 25 times .

Therefore , $L=n\times C$

Here , C is the circumference of cylinder .

Putting all values we get :

$C=\dfrac{L}{n}\\\\C=\dfrac{550}{25}\\\\C=22\ cm$

Now , circumference is given by :

$C=2\piR\\\\R=\dfrac{C}{2\pi}\\\\R=\dfrac{22}{2 \pi}\\\\R=3.5\ cm$

Therefore , the circumference and radius of cylinder is 22 cm and 3.5 cm respectively .

Learn More :

Volume and perimeter

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