Question

A road roller of length 3`l` m and radius `l/3` m can cover field in 100 revolutions moving once over. The area of the field in terms of `l` is ......... m².

Curved surface area = 2πrh

h = `square` m

`square = l/3` m

∴ Curved surface area of cylinder = `square` × 2

∴ Area of field = 2πrl² × 100 = `square`

Answer 1

A road roller of length 3`l` m and radius `l/3` m can cover field in 100 revolutions moving once over. The area of the field in terms of `l` is 200πl² m².

Curved surface area = 2πrh

h = \[\boxed{3l}\] m

\[\boxed{r} = \frac{l}{3} m\]

∴ Curved surface area of cylinder = \[\boxed{πl^2} \times 2\]

∴ Area of field = 2π`l`² × 100 = \[\boxed{200πl^2}\]