Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 6 cm square centimeters submit

Explanation:

Step1: Find the radius

Since the diameter \(d = 6\) cm, and \(r=\frac{d}{2}\), then \(r = 3\) cm.

Step2: Use the surface - area formula for a sphere

The formula for the surface area of a sphere is \(A = 4\pi r^{2}\). Substitute \(r = 3\) into the formula: \(A=4\pi\times(3)^{2}\).
First, calculate \((3)^{2}=9\). Then \(A = 4\pi\times9=36\pi\).
Using \(\pi\approx3.14159\), we have \(A\approx36\times3.14159\).
\(36\times3.14159 = 113.09724\).

Answer:

\(113.10\) square centimeters