Question

what is the surface area of this sphere?
round your answer to the nearest hundredth.
9.2 cm
square centimeters

Explanation:

Step1: Recall surface area formula for sphere

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

Step2: Identify the radius

The radius \( r = 9.2 \, \text{cm} \).

Step3: Calculate the surface area

Substitute \( r = 9.2 \) into the formula:
\( S = 4\pi (9.2)^2 \)
First compute \( 9.2^2 = 84.64 \), then multiply by 4: \( 4 \times 84.64 = 338.56 \), then multiply by \( \pi \): \( 338.56 \times \pi \approx 338.56 \times 3.1416 \approx 1063.32 \).

Answer:

1063.32