Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 92 cm square centimeters submit

Explanation:

Step1: Identify the radius of the sphere

The given length is the radius \( r = 92 \) cm.

Step2: Recall the formula for the surface area of a sphere

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

Step3: Substitute the radius into the formula

Substitute \( r = 92 \) into the formula:
\( S = 4\pi(92)^2 \)

Step4: Calculate the value

First, calculate \( 92^2 = 8464 \).
Then, multiply by 4: \( 4\times8464 = 33856 \).
Now, multiply by \( \pi \): \( S = 33856\pi \).
Using \( \pi \approx 3.14159 \), we get \( S \approx 33856\times3.14159 \approx 106367.57 \) (rounded to the nearest hundredth).

Answer:

\( 106367.57 \)