Question

The volume of a conical tent is 1232 m³ and the area of the base floor is 154 m². Calculate the:  length of the canvas required to cover this conical tent if its width is 2 m.

Answer 1

Let l be the slant height of the conical tent, then

`= l=sqrt(h^2+r^2)` 

∴ `l= sqrt(h^2+r^2)=sqrt((24)^2+(7)^2)=sqrt(576+49)=sqrt625=25m` 

The area of the canvas required to make the tent =`pirlm^2` 

∴`pirl=22/7xx7xx25m^2=550m^2` 

Length of the canvas required to cover the conical tent of its width 2 m= `550/2=275 m`