Question

a sphere has a radius of 5 mm. what is the total surface area of the sphere? use 3.14 or a calculator button for pi and provide an answer accurate to two decimal places.

Explanation:

Step1: Write 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 \(r = 5\) mm and \(\pi=3.14\), substitute these values into the formula: \(A = 4\times3.14\times5^{2}\).
First, calculate \(5^{2}=25\). Then, \(4\times3.14\times25=(4\times25)\times3.14 = 100\times3.14\).

Step3: Calculate the result

\(100\times3.14 = 314.00\)

Answer:

\(314.00\) mm²