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

Question

Mathematics

Van Hammond

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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Rhett Russo · Answer 1

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