Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 4 mm square millimeters submit

Explanation:

Step1: Find the radius

The diameter \(d = 4\) mm. The radius \(r=\frac{d}{2}\), so \(r = \frac{4}{2}=2\) mm.

Step2: Use the surface - area formula for a sphere

The formula for the surface area of a sphere is \(A = 4\pi r^{2}\). Substitute \(r = 2\) into the formula: \(A=4\pi(2)^{2}\).
First, calculate \((2)^{2}=4\). Then \(A = 4\pi\times4=16\pi\).
Using \(\pi\approx3.14159\), we have \(A\approx16\times3.14159 = 50.26544\).

Answer:

\(50.27\)