Question

A road roller takes 750 complete revolutions to move once over to level a road. Find the area
of the road, if the diameter of the road roller is 84 cm and its length is 1 m.​

Answer 1

Answer: 19800000 cm² or 1980 m²

Step-by-step explanation:

Given:-

• A roller takes 750 revolutions to level a road.

• Diameter of the roller = 84 cm

• Length of the roller = 1 m

To Find:-

Area of the road

Solution:-

Diameter of the roller = 84 cm

$\implies$radius = 84/2 = 42 cm

Length of the roller = 1 m or 100 cm

Area of the road covered in 1 revolution;

= 2πr × l

= 2 × 22/7 × 42 × 100

= 2 × 132 × 100

= 26400 cm²

Area of the road covered in 750 revolutions;

= area covered in 1 revolution × 750

= 26400 × 750

= 19800000 cm² or

= 1980 m²

Hence, area of the road is 1980 m².

Answer 2

Step-by-step explanation:

Given:-Answer: 19800000 cm² or 1980 m²

Step-by-step explanation:

Given:-

A roller takes 750 revolutions to level a road.

Diameter of the roller = 84 cm

Length of the roller = 1 m

To Find:-

Area of the road

Solution:-

Diameter of the roller = 84 cm

\implies⟹ radius = 84/2 = 42 cm

Length of the roller = 1 m or 100 cm

Area of the road covered in 1 revolution;

= 2πr × l

= 2 × 22/7 × 42 × 100

= 2 × 132 × 100

= 26400 cm²

Area of the road covered in 750 revolutions;

= area covered in 1 revolution × 750

= 26400 × 750

= 19800000 cm² or

= 1980 m²

Hence the area is 1980m².