Question

question 8 of 10
what is the surface area of the sphere below?
a. 324π units²
b. 324π³ units²
c. 36π units²
d. cannot be determined

Explanation:

Step1: Recall the formula for the surface area of a sphere

The formula for the surface area 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 \(r = 3\).

Step3: Substitute the radius into the formula

Substitute \(r = 3\) into \(S=4\pi r^{2}\), we get \(S = 4\pi\times(3)^{2}\).

Step4: Calculate the value

First, calculate \((3)^{2}=9\), then \(4\pi\times9 = 36\pi\).

Answer:

C. \(36\pi\) units\(^{2}\)