Question

a road roller covers 11 km in covering this distance it makes 5000 revolutions. find the radius of the roller

Answer 1

Answer:

The radius of the roller is 0.35 m .

Step-by-step explanation:

As given

A road roller covers 11 km in covering this distance it makes 5000 revolutions.

As 1km = 1000 m

11 km is convert into m .

11 km = 11  × 1000

         = 11000 m

$Circumference\ of\ a\ rollar = \frac{Total\ distance\ covered}{Total\ number\ of\ revolution}$

$Circumference\ of\ a\ rollar = \frac{11000}{5000}$

Circumference of a circle = 2.2 m

Formula

$Circumference\ of\ a\ circle = 2\pir$

Where r is the radius of the circle .

(As the shape of the roller in the form of circle.)

$\pi =\frac{22}{7}$

$2.2 = 2\times \frac{22}{7}\times r$

$r =\frac{2.2\times 7}{2\times 22}$

$r =\frac{22\times 7}{2\times 22\times 10}$

$r =\frac{154}{440}$

r = 0.35 m

Therefore the radius of the roller is 0.35 m .