Question

The radius of the wheel of a car is $35cm$. How many revolutions will it make to travel $33km$?

Answer 1

Radius of the wheel $=35cm$
Circumference of the wheel $=2\pi r$

$=2\times \frac{22}{7}\times 35cm$

$=(44\times 5)cm$

$=220cm$

$=\frac{220}{100}m$

$=\frac{11}{5}m$

Distance covered by the wheel in $1$ revolution $=\frac{11}{5}m$

Now, $\frac{11}{5}m$ is covered by the car in $1$ revolution.

Hence, no of revolutions to cover $1m=1\times \frac{5}{11}$

Thus, no of revolutions taken to cover $(33\times 1000)m$ will be = $1\times \frac{5}{11}\times 33\times 1000$

$=15000$ revolutions.
∴ Required number of revolutions $=15000$