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Monica 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 wastage incurred while cutting, amounts to approximately 1 m2. Find the volume of the tent that can be made with it.
1) We have,
Area of canvas = 551 m2
Area of canvas lost in wastage = 1 m2
∴ Area of canvas used in making tent
= (551-1) m2 = 550 m2
= Surface area of the cone = 550 m2
We have,
r = radius of the base of the cone = 7 m
∴ Surface area = 550 m2 = πrl = 550
=×7×l=550 = l = 25 m
Let h be the height of the cone. Then,
l2 = r2+h2 = h = =
= 24 m
∴ Volume of the cone =
= m3 = 1232 m3