Question

A road rolling takes 720 complete revolution to move once over to level a road find the area of the road if the diameter of a road roller is 84cm and length is 1m​

Answer 1

Answer:

420 rotation in one minute

Answer 2

Given :-

• height of roller  = 1 m

• Diameter of roller = 84

• In one revolution, the road roller will cover an area equal to its lateral surface area.

To Find :-

• Area of the road.

Solution :-

Radius of the road :-

$:\implies\sf{Dimater/2}$

$:\implies\sf{84/2}$

$:\implies\sf{42\:or\:0.42}$

Area of the road covered in one revolution :-

$:\implies\sf{2 \pi r h}$

$:\implies\sf{2 \times 22/7 \times 0.42\times 1}$

$:\implies\sf{2.64\: cm^2}$

Therefore,

Area of road in 750 revolutions :-

$:\implies\sf{2.64\times750}$

$\green{:\implies}\sf{1980\:cm^2}$