Monica has a piece of Canvas whose area is `551m^2dot` She uses it to have conical tent mode, with a base radius of 7m. Assuming that all the stitching margins and wastage incurred while cutting, amounts to approximately `1m^2dot` Find the volume of the tent that can be made with it.

Explanation

given
Area of canvas `= 551 m^2`
Area of canvas lost in wastage `= 1 m^2`
so
Area of canvas used in making tent `= (551-1) m^2`
` = 550 m^2`
Surface area of the cone `= 550 m^2`
We have,
radius of the base of the cone` r= 7 m`
so
Surface area `= 550 m^2`
`pirl = 550`
`l = 25 m`
Let height of the cone`=h`
Then,
`l^2= r^2 + h^2`
`h= 24 m`
so
Volume of the cone `=(1/3)pir^2h`
`=(1/3)pi7^2xx24 m^3`
`=1232 m^3`