A man uses a piece of canvas having an area of `551 m^(2)`, to make a conical tent of base radius 7m. Assuming that all the stitching margins and wastage incurred while cutting, amount to approximately `1m^(2)`, find the volume of the tent that can be made with it.

Answer

`1232 m^(3)`

Explanation

Area of canvas in making the tent `(551 - 1) m^(2) = 550 m^(2)`
Curved surface area of the tent = `550 m^(2)`
`:. pi rl = 550 rArr (22)/(7) xx 7 xx l = 550 rArr l = 25m`
`h^(2) = (l^(2) - r^(2)) = (625- 49) = 576`