Question

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

Explanation:

Step1: Find the radius

The diameter of the sphere is \(4\) m. The radius \(r=\frac{d}{2}=\frac{4}{2} = 2\) m.

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:

\(50.27\)