The circumference of the base of 20m high conical tent is 44m.Calculate the length of canvas used in making the tent if width of canvas is 2m. *
Answers
Answer:
option is B)
Let the radius of the base be r meters.
Then, the circumference:
2πr=44 m.
⟹ r=
2π
44
=
2×22
44×7
=7m.
Let the slant height be l meters.
Then,
l=
h
2
+r
2
=
7
2
+24
2
=
625
=25m.
Now, Surface area = πrl=
7
22
×7×25=550m
2
.
∴ Area of canvas required =550 m
2
.
Given that width of the canvas is 2 m.
Therefore, Length of canvas required =
2
550
=275m.
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Step-by-step explanation:
Let the radius of the base be r meters.
Then, the circumference:
2πr=44 m.
⟹ r=44/2π=44×7/2×22=7m.
Let the slant height be l meters.
Then,
l=under root h^2+under root r^2=(under root 7^2+ 24^2)=under root 625=25m.
Now, Surface area = πrl=22/7×7×25=550m2.
∴ Area of canvas required =550 m2.
Given that width of the canvas is 2 m.
Therefore, Length of canvas required = 550/2=275m.