Question

1. determine the surface area of a sphere with a radius of 6 cm.

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 \(r = 6\space cm\), substitute into \(S = 4\pi r^{2}\). So \(S=4\pi\times(6)^{2}\).
First, calculate \((6)^{2}=36\). Then \(S = 4\pi\times36\).
Since \(4\times36 = 144\), we have \(S=144\pi\space cm^{2}\).
Taking \(\pi\approx3.14\), then \(S = 144\times3.14=452.16\space cm^{2}\)

Answer:

The surface area of the sphere is \(452.16\space cm^{2}\)