Question

a sphere has a radius of 4 cm. what is the surface area of the sphere? enter your answer, in exact form, in the box. cm²

Explanation:

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

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

Step2: Substitute the given radius into the formula

Given \(r = 4\) cm. Substitute \(r = 4\) into \(A = 4\pi r^{2}\). Then \(A=4\pi\times(4)^{2}\).

Step3: Simplify the expression

First, calculate \((4)^{2}=16\). Then \(A = 4\pi\times16\). Multiply \(4\times16 = 64\). So \(A = 64\pi\).

Answer:

\(64\pi\)