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The diameter of a roller is …

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The diameter of a roller is 84cm. It takes 120 complete revolutions to move once to level a playground. Find the area of the playground.

Posted by Vanshika Dawar 5 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 2 months ago

Radius of the roller (r) = 84/ 2 cm = 42 cm

Length of the roller (h) = 120 cm

Curved surface area of the roller = 2πrh

= 2 × 22/ 7 × 42 × 120 cm² = 44 × 720 cm² = 31680 cm²

∴ area covered by the roller in 1 revolution = 31680 cm²

∴ area covered by the roller in 500 revolutions = 31680 × 500 cm² = 15840000 cm

Hence, area of the playground = 15840000/ 100× 100 m² = 1584 m² Ans.

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