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Deepak Bora
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The volume of a hemisphere is 2425Λ½ cm³ . Find its curved surface area.

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Question based on Volume and surface area of hemisphere, use the formula of surface area of hemisphere. This question from RS Aggarwal book mensuration chapter Exercise 17A, page number 786.

This question ask in 2012 cbse board exam.

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  1. Volume of hemisphere is 2425∧½ cm³

    Volume of hemisphere = [2/3]πr³

    2425∧½ = 2425.5

    ∴ 2425.5 = [2/3]πr³

    2425.5 = 2/3 × 22/7 × r³

    r³ = (2425.5 × 21)/44

    r³ = 50935.5/44

    r³ = 1157.625

    r = 10.5 cm

    Now,

    Curved Surface Area of hemisphere = 2πr²

    = 2 × 22/7 × 10.5²

    = 693 sq cm

    ∴ Curved Surface Area  of hemisphere is 693 cm²

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