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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 3 years, 11 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 3 years, 11 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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