Meera has a piece of canvas whose area is 551 m². She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 m², find the volume of the tent that can be made with it.
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Answer:
area : 551 m, r = 7 m
wastage :1m^2
as area of cone − 1/2 × base × height
551= 1/2 × 7 × height
=157.4m = height
Volume of cone = 1/3 πr^2 =h
= 1/3 × 22/7 × 7/7 × 157.4 × 1
=164.89
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Meera has a piece of canvas whose area is 551 m². She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 m², find the volume of the tent that can be made with it.
Given :
area : 551 m,
r = 7 m
wastage :1 m²
as area of cone = 1/2 × base × height
⟹551= 1/2 ×7×height
⟹ 157.4m = height
Volume of cone = 1/3 × πr² × h
⟹1/3 × 22/7 × 7/7 × 157.4 × 1
⟹164.89m²
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