Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 142 ft square feet submit

Explanation:

Step1: Find the radius of the sphere.

The diameter of the sphere is given as 142 ft. The radius \( r \) is half of the diameter, so \( r=\frac{142}{2} = 71 \) ft.

Step2: Use the formula for the surface area of a sphere.

The formula for the surface area \( S \) of a sphere is \( S = 4\pi r^{2} \). Substitute \( \pi\approx3.14 \) and \( r = 71 \) into the formula:
\( S=4\times3.14\times71^{2} \)
First, calculate \( 71^{2}=71\times71 = 5041 \).
Then, \( 4\times3.14 = 12.56 \).
Next, multiply \( 12.56\times5041 \):
\( 12.56\times5041 = 12.56\times(5000 + 41)=12.56\times5000+12.56\times41 = 62800+514.96 = 63314.96 \)

Answer:

63314.96