Question

question 10 of 25
what is the surface area of a sphere with radius 2?
a. 8π units²
b. 16π units²
c. 4π units²
d. 2π units²

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: Substitute the given radius into the formula

Given \(r = 2\), substitute it into the formula: \(S=4\pi\times(2)^{2}\).

Step3: Calculate the value

First, calculate \((2)^{2}=4\). Then, \(S = 4\pi\times4=16\pi\).

Answer:

B. \(16\pi\) units\(^{2}\)