Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 16 yd square yards submit

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 \(r = 16\) yd. Substitute \(r = 16\) into \(A = 4\pi r^{2}\):
\(A=4\pi\times(16)^{2}\)
First, calculate \((16)^{2}=256\). Then \(A = 4\pi\times256\).
Since \(4\times256 = 1024\), the formula becomes \(A = 1024\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159265\), we have \(A=1024\times3.14159265\).
\(1024\times3.14159265 = 3216.99087\)

Answer:

\(3216.99\) square yards