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If the radii of the circular ends of a bucket 24 cm high are 5 and 15 cm respectively, find the surface area of the bucket.

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Rd sharma class 10 maths exercise-16.3 mensuration.

In this question we have to find the surface area
of the bucket.If the radii of the circular ends
of a bucket 24 cm high are 5 and 15 cm respectively.

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1 Answer

  1. Given,

    Height of the bucket (h) = 24 cm

    Radius of the circular ends of the bucket 5 cm and 15 cm

    So, r1 = 5 cm; r2 = 15 cm

    Let ‘L’ be the slant height of the bucket

    Then, we know that

    Now,

    Curved surface area of the bucket

    = π(r1 + r2)l + πr12

    = π(5 + 15)26 + π52 = π(520 + 25) = 545π cm2

    Therefore, the curved surface area of the bucket = 545π cm2

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