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 .
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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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