Question

A road roller covers 11 km. In covering this distance
it makes 5000 revolutions. Find the radius of the
roller​

Answer 1

Question :-A road roller covers 11 km. In covering this distance it makes 5000 revolutions. Find the radius of the roller.

➻ Let the radius of the road roller be r cm.

➙ Distance covered by road roller in 1 revolution = 2πr

➙Distance covered by rood roller in 5000 revolution = 5000 × 2πr

➻ Given :-

Distance covered by road roller in 5000 revolution = 11 km

$5000 \: \times \: 2 \: = \: \: \frac{22}{7} \times r \: = \: 11km \: = \: 1000m$

$r \: = \: \frac{11000 \times 7}{5000 \times 44}$

$r \: = \: 0.35m$

↬So, r :- 35 cm