Question

The circumference of the base of 10m high conical tent is 44m. Calculate the length of canvas used in making the tent if width of canvas is 2m.

Answer 1

Answer:

134.2m

Step-by-step explanation:

Let r m be the radius of the base, h m be the height and l m be the slant height of the cone.

Given, circumference =44 metres.

⇒2πr=44⇒2×

7

22

×r=44⇒r=7 metres.

It is also given that h=10 metres.

∴ Slant height l

2

=r

2

+h

2

⇒l=

r

2

+h

2

=

49+100

=

149

=12.2m.

Now, we know, the surface area of the tent =πrl.

=

7

22

×7×12.2m

2

=268.4m

2

∴ Area of the canvas used =268.4m

2

.

It is given that the width of the canvas is 2 m.

∴ Length of the canvas used =

width

area

=

2

268.4

1. =134.2m