Question

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

Answer 1

360

Explanation:

got it right on edge

Answer 2

Option (1)

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 =
`(17671.5)/(49)`

= 360

Therefore, Option (1) will be the answer.