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}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20surface%20area%20of%20the%20sphere%7D%7D%7B%5Ctext%7BArea%20of%20one%20panel%7D%7D)
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}](https://tex.z-dn.net/?f=%5Cfrac%7B17671.5%7D%7B49%7D)
= 360
Therefore, Option (1) will be the answer.