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 radius 4 in \boxed{} 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 \( r = 4 \) inches.

Step3: Substitute the values into the formula

Substitute \( r = 4 \) and \( \pi \approx 3.14 \) into the formula:
\( S = 4\times3.14\times4^{2} \)
First, calculate \( 4^{2}=16 \).
Then, \( 4\times3.14 = 12.56 \).
Next, multiply \( 12.56\times16 \):
\( 12.56\times16 = 200.96 \)

Answer:

200.96