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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

Respuesta :

nobillionaireNobley
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