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Maurinko [17]
3 years ago
9

A large spherical structure has a 37.5-foot radius. The sphere is covered with panels. If each panel has an area of about 49 ft2

, approximately how many panels would be needed to cover the entire sphere?
360

940

17,660

310,000
Mathematics
2 answers:
Citrus2011 [14]3 years ago
4 0

Answer:

Option (1)

Step-by-step explanation:

Radius of the spherical structure = 37.5 feet

Surface area of each panel = 49 square feet

Sphere is covered with panels.

Therefore, area of the panels needed = \frac{\text{Total surface area of the sphere}}{\text{Area of one panel}}

Surface area of the sphere = 4πr²

Here 'r' = radius of the sphere

For a sphere having radius 'r' = 37.5 feet,

Surface area of the sphere = 4π(37.5)²

                                             = 17671.5 feet²

Number of panels required to cover the sphere = \frac{17671.5}{49}

                                                                                = 360

Therefore, Option (1) will be the answer.

vodomira [7]3 years ago
3 0

Answer:

360

Step-by-step explanation:

got it right on edge

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