Question

army brought a rectangular cloth of with 3m to built a conical tent of vertical height 6m and radius 8m . if army uses 75percent of cloth to build the tent ,then what was the actual length of cloth that was brought from the market .​

Answer 1

ANSWER

Tarpaulin is the curved surface area of tent  

The height of tent h=8m

And radius of tent r=6m

Then slant height of tent l=  

r  

2

+h  

2

 

​  

=  

(6)  

2

+(8)  

2

 

​  

=  

36+64

​  

=  

100

​  

=10

Curved surface area of tent =3.14×6×10=188.4m  

2

 

Area of tarpaulin material = area of tent  

length×breadth=Curved surface area of tent

lenght×3=188.4

⇒Length=  

3

188.4

​  

=62.8m

The wastes in tarpaulin =20cm=0.2m

 

Then length of tarpaulin =62.8+0.2=63m

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