Question

1. what is the surface area of a sphere with a radius of 6 cm? a. 150.72 cm² b. 226.08 cm² c. 452.16 cm² d. 678.24 cm²

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 \(r = 6\space cm\), and taking \(\pi=3.14\). Then \(S=4\times3.14\times6^{2}\).
First, calculate \(6^{2}=36\).
Then, \(4\times3.14\times36=(4\times36)\times3.14 = 144\times3.14\).
Calculate \(144\times3.14 = 452.16\space cm^{2}\).

Answer:

C. \(452.16\space cm^{2}\)