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10 May, 02:47

Deepika on her way to home saw some homeless person sleeping in the park in a winter night. she gave them her canvas area of 551 metre square they used it to make a conical tent with a base radius 7 metre. assuming that all the stitching margin and wastage incured white cutting amounts to approximately 1 metres square find volume of the tent that can be made with it. which value is depicted by Deepika? Using pie 22/7

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  1. 10 May, 05:00
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    Total area of canvas used in the cunstruction of the tent = 551 - 1 = 550 meters square.

    Area of a cone = πr (r + sqrt (h^2 + r^2))

    22/7 * 7 (7 + sqrt (h^2 + 7^2)) = 550

    7 + sqrt (h^2 + 49) = 550/22 = 25

    sqrt (h^2 + 49) = 25 - 7 = 18

    h^2 + 49 = 18^2 = 324

    h^2 = 324 - 49 = 275

    h = sqrt (275) = 16.58

    The volume of the tent is the volume of a cone with base radius of 7 meter and height of 16.58 meter.

    Volume of a cone = 1/3 πr^2h

    = 1/3 * 22/7 * 7^2 * 16.58 = 851.3 m^3
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