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`=551m^2`
Area of wastage`=1m^2`
Actual area`=551−1=550m^2`
Base radius of the conical tent`=7m`
Let `l` be the slant height and `h` be the vertical height, then slant height `(l)=Area=pir=(550×7)/(22xx7)=25m`
`:.`Vertical height `(h)=sqrt(l^2-r^2)`
`=sqrt(25^2-7^2)m=aqrt(625-49)`
`=sqrt(576)m=24m`
Now volume of the tent`=1/3pir^2h`
`=1/3xx22/7xx7xx7xx24=1232m^3`
Hence, the volume of tent that can be made `1232m^2`.