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

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9231

m 2

3586

m 2

4636

m 2

1584

answer is D.

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Detailed Solution

It is given a roller of diameter 84 cm and length 120 cm and the number of revolutions taken over to level a playground is 500.
Surface area of a cylinder =

2 π r h

Radius of roller =

d i a m e t e r 2

⇒

⇒

The curved surface area of roller =

2 π r h

It takes 500 complete revolutions to level the playground.
Area of playground =

500 × 31680

⇒

Area of playground

⇒

Area of playground

(

)

∴

Area of playground is

.
Hence option (4) is correct.

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