Question

A road roller takes 750 complete revolutions to move once over to level the road .find the area of the road if the diameter of a roadroller is 84 cm and lenght is 100cm

Answer 1

solution we have done that
area of road is =c.s.a of roller ×no. of revolution

Answer 2

Solution -

No. of revolutions by the road roller

= 750 revolutions

According to Question,

Area of road = Curved surface area of road roller × No. of revolutions

Dimensions of the roller -

Diameter = 84 cm

Radius = 84/2 = 42 cm

Length = Height = 100 cm

∴ Curved Surface Area of road roller

= 2πrh

= [2 × 22/7 × 42 × 100] cm²

= [2 × 22 × 6 × 100] cm²

= 26,400 cm²

∴ Area of road

= [26,400 × 750] cm²

= 19,800,000 cm²

= 1,980 m²

∴ The area of road is 1,980 meters

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