Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 16 in 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 \( r = 16 \) inches.

Step3: Substitute the values into the formula.

Substitute \( \pi \approx 3.14 \) and \( r = 16 \) into the formula:
\( S = 4\times3.14\times(16)^2 \)
First, calculate \( 16^2 = 256 \).
Then, \( 4\times3.14 = 12.56 \).
Now, multiply \( 12.56\times256 \).
\( 12.56\times256 = 3215.36 \)

Answer:

\( 3215.36 \)