Question

q3. 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 \(A = 4\pi r^{2}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 6\space cm\), substitute into the formula: \(A=4\pi\times(6)^{2}\).
First, calculate \((6)^{2}=36\). Then \(A = 4\pi\times36\).
Since \(4\times36 = 144\), the formula becomes \(A=144\pi\).
Taking \(\pi\approx3.14\), we have \(A = 144\times3.14\).
\(144\times3.14=(100 + 40+4)\times3.14=100\times3.14+40\times3.14 + 4\times3.14=314+125.6+12.56 = 452.16\space cm^{2}\).

Answer:

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