Question:
The diameter of a wheel is 84 cm. How many revolutions will it make to cover 792 m?
(a) 200
(b) 250
(c) 300
(d) 350
Solution:
(c) 300
Let d cm be the diameter of the wheel.
We know:
Circumference of the whee $=\pi \times d$
$=\left(\frac{22}{7} \times 84\right) \mathrm{cm}$
$=264 \mathrm{~cm}$
Now,
Number of revolutions to cover $792 \mathrm{~m}=\left(\frac{792 \times 1000}{264}\right)$
$=300$