Monica has a piece of Canvas whose area is 551 m 2 . 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 m 2 . Find the volume of the tent that can be made with it.

Question

Philoid · Accepted Answer

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

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.

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.