Question

question 9 of 21 what is the surface area of a sphere with radius 3? a. 18π units² b. 36π units² c. 9π units² d. 3π units²

Explanation:

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

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

Step2: Substitute the given radius into the formula.

Given that the radius \( r = 3 \), we substitute \( r = 3 \) into the formula:
\( S = 4\pi(3)^{2} \)

Step3: Simplify the expression.

First, calculate \( 3^{2}=9 \). Then, multiply by 4:
\( S = 4\pi\times9 = 36\pi \)

Answer:

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