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 the canvas is 2m. * The circumference of the base of 20m high conical tent is 44m. Calculate the length of canvas used in making the tent if the width of the canvas is 2m. *
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Verified answer
Answer:
The length of cloth required is 371.24 m.
Step-by-step explanation:
Given:
Circumference of the base = 20m
Height of tent = 44m
First, we calculate the radius of the base;
Circumference = 2π r
Substituting:
20 = 2* π r
[tex]r = \frac{10}{3.14}[/tex]
r = 3.18 m
Area of the cone = [tex]\pi r (r + \sqrt{r^2 + h^2} )[/tex]
Substituting;
Area of cone = [tex]3.14 * 3.18 (3.18+ \sqrt{3.18^2 + 44^2} )[/tex]
Area of cone = 742.48 m
To calculate the length of cloth;
we need to cover an area of = 742.48m
area = length * width
742.48 = length * 2
Length = 371.24 m
Step-by-step explanation:
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