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 a road roller is 84cm and the length is 1 m​

Answer 1

$\huge\bold{Answer}$

Given,

Length = 1m = 100cm

Diameter = 84cm

So, Radius = 84/2 = 42cm

Curved Surface area of the Roller = 2πrh

= 2 × 22/7 × 42 × 100

= 26400 cm^2

= 2.64 m^2

Hence, Area covered in 1 Revolution = 2.64 m^2

The Area covered in 500 Revolutions would be = 500 × 2.64

= 1320 m^2

Thus, The Area of the Road is 1320cm^2.

$\huge\mathfrak\red{Hope\: This\: Helps\: You}$

Answer 2

Length of roller = 1m = 100cm

Circumference of roller = π x D = 22/7 X 84 =  264 cm

Length of road = 264 x 750 = 198000 cm

Width of road = length of roller = 100 cm

Area of road = 198000 x 100 = 19,800,000 cm² or 1980 m²

hope it helps!!