Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a sphere with a dashed diameter line labeled 184 ft square feet submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is 184 ft, so the radius \( r = \frac{184}{2} = 92 \) ft.

Step2: Use the surface area formula for a sphere

The formula for the surface area of a sphere is \( SA = 4\pi r^2 \). Substitute \( r = 92 \) and \( \pi \approx 3.14 \):
\( SA = 4 \times 3.14 \times 92^2 \)
First, calculate \( 92^2 = 8464 \).
Then, \( 4 \times 3.14 = 12.56 \).
Next, \( 12.56 \times 8464 = 106317.44 \)

Answer:

106317.44