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  • How many metres of cloth 5m wide will be required to make a conical tent , the radius of whose base is 7 m and whose height is 24m ?

How many metres of cloth 5m wide will be required to make a conical tent , the radius of whose base is 7 m and whose height is 24m ?

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Solution :  Let x m be the radius , h m be the height and l m be the slant height of the tent .

                 Then , x=7m , h=24m.

herefore               l=sqrtr^2+h^2Rightarrow l=sqrt49+576=sqrt625=25

Now , 

                 Curved surface =pi rl  

                                           = (frac227 imes7 imes 25)m^2=550m^2

herefore             Area of the canvas used = 550m^2

                It is given that the width of the canvas is 5m .

herefore            Length of the canvas used =fracAreawidth=frac5505m=110m

Posted by

Deependra Verma

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