Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a green sphere with a dashed line labeled 20 in from its center square inches 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 diagram, the radius \( r = 20 \) inches.

Step3: Substitute the values into the formula

Substitute \( \pi \approx 3.14 \) and \( r = 20 \) into the formula:
\( S = 4\times3.14\times(20)^{2} \)
First, calculate \( (20)^{2}=400 \).
Then, \( 4\times3.14 = 12.56 \).
Next, multiply \( 12.56\times400 \):
\( 12.56\times400 = 5024.00 \)

Answer:

5024.00