Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 4 yd square yards

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 \(r = 4\) yd. Substitute \(r = 4\) into \(A = 4\pi r^{2}\):
\(A=4\pi\times(4)^{2}\)
First, calculate \((4)^{2}=16\). Then \(A = 4\pi\times16\).
\(A = 64\pi\)

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), we have \(A=64\times3.14159\).
\(A = 201.06176\)

Answer:

\(201.06\) square yards