Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. sphere image with 32 yd square yards submit

Explanation:

Step1: Recall the formula for the surface area of a sphere

The formula for the surface area \( S \) of a sphere is \( S = 4\pi r^{2} \), where \( r \) is the radius of the sphere.

Step2: Identify the radius of the sphere

From the problem, the radius \( r = 32 \) yards.

Step3: Substitute the values into the formula

Substitute \( \pi \approx 3.14 \) and \( r = 32 \) into the formula:
\( S=4\times3.14\times(32)^{2} \)
First, calculate \( 32^{2}=32\times32 = 1024 \)
Then, \( 4\times3.14 = 12.56 \)
Now, multiply \( 12.56\times1024 \)
\( 12.56\times1024 = 12861.44 \)

Answer:

\( 12861.44 \)