An interesting math applied on practical life

Find the area covered by a road roller in 50 revolutions if it's diameter is 140 Cm. and it,s width is 120 Cm. Convert the area in Square Meter

Before going to the mathematics solution, this formulas needs to be memorized

1. Volume of a cube ( length L * Breadth B * Height H ) , if the cube is of equal dimensions then it is  L *L*L   cubic unit ,

2. Surface area of a equal unit of cube   6 L 2 3 .For pure water  1 ml = 1 cm3 4. surface area of a cuboid = 2 ( L*B + B*H + L*H)  where L =length, B= Breadth, H= Height 5. Volume of a cuboid = (L*B*H) where L =length, B= Breadth, H= Height

solution
When the wheel of the road roller moves it covers an area equal to its lateral surface area per revolution
Given data		width of the road roller wheel   L = 120 Cm
		Radius of the road roller wheel  R = diameter/2 = 140/2= 70 Cm
		on per revolution , it covers an area = 2 *π* R* L					52800		Sq  Cm
Now the road roller wheel has taken 50 revolutions , so total lateral area is  50*52800 = 264000 square Cm
The area covered in square  Meter  264000/(100*100)						26.4	square meter		M2