Trying to find the right answer to this..

The road roller is cylinder. Radius = Length (h) = 1m = 100 cm ∴ Lateral surface area = = = = 26400 cm 2 ∴ Area levelled by the roller in 1 revolution = 26400 cm 2 or Area levelled in 750 revolutions = 750 x 26400 cm 2 = = Thus, the required area of the road = 1980 m 2 - Wired Faculty

Question

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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 84 cm and length is 1 m.

Solution

The road roller is cylinder.
Radius = $84 over 2 cm space equals space 42 space cm$
Length (h) = 1m = 100 cm
∴ Lateral surface area = $space 2 πrh$
= $2 cross times 22 over 7 cross times 42 cross times 100 space cm squared$
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= 26400 cm²
∴ Area levelled by the roller in 1 revolution = 26400 cm²
or Area levelled in 750 revolutions = 750 x 26400 cm²
= $fraction numerator 750 cross times 26400 over denominator 100 cross times 100 end fraction straight m squared$
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