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const2013 [10]
3 years ago
10

A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi

s umbrella. (Hint: an umbrella will have no base)
Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

0.76m²

Step-by-step explanation:

In the above question, we are given the following information.

Radius = 0.4m

Height = 0.45m

To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :

Lateral Surface Area of a cone =

πr√(h² + r²)

= π × 0.4√(0.45² + 0.4)

= 0.7566m²

≈ Approximately = 0.76m²

Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²

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First of all, we can observe that

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3 years ago
Needing help with these 2 problems
UNO [17]

Answer:

15) 3.2

17) 13.4

Step-by-step explanation:

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a² + b² = c²

In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.

You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".

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b² = 10.23                                      <----- Subtract 16.81 from both sides

b = 3.2                                           <----- Take the square root of both sides

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13.

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<4 = 180 - 34

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