Question

what is the surface area of this sphere? round your answer to the nearest hundredth 6 in square inches

Explanation:

Step1: Identify the radius

The radius \( r = 6 \) in.

Step2: Apply surface area formula

Surface area of sphere: \( 4\pi r^2 \)
Substitute \( r = 6 \): \( 4\pi (6)^2 = 4\pi \times 36 = 144\pi \)

Step3: Calculate numerical value

\( 144\pi \approx 144 \times 3.1416 = 452.3904 \)

Step4: Round to nearest hundredth

\( 452.3904 \approx 452.39 \)

Answer:

452.39