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Q.

The diameter of a roller is 84cm and its length is 120cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in .

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a

b

c

d

answer is A.

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Detailed Solution

Concept: The playground will consist of the space that the roller will circle 500 times. In other words, it will be 500 times larger than the roller's curved surface area.
Given, the cylindrical roller's height is 120 cm, as indicated by the question.
Question Image

Question Image

Curved surface area =

Question Image

Thus, the roller will have covered the following total area in 500 revolutions:
Question Image

Question Image

Hence, the correct answer is option 1.

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