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A shuttle cock used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere.

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A shuttle cock used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere. The diameters of the frustum are 5 cm and 2 cm. The height of the entire shuttle cock is 7 cm. Find its external surface area.

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External surface area of the cock = Surface area of frustum + CSA of hemisphere

= 6.28 cm2

∴ Total external surface area

= 67.1 + 6.28

= 73.38 cm2

= 73.39 cm2 (approx.)

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