Question

a disco ball is shaped like a sphere with a diameter of 16 inches. to the nearest square inch, what is the surface area of the disco ba
o a. 201
o b. 402
o c. 804
o d. 3,215

Explanation:

Step1: Find the radius

The formula for the radius \(r\) of a sphere is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 16\) inches, so \(r=\frac{16}{2}=8\) inches.

Step2: Use the surface - area formula for a sphere

The surface - area formula for a sphere is \(S = 4\pi r^{2}\). Substitute \(r = 8\) into the formula: \(S=4\pi(8)^{2}\).
First, calculate \((8)^{2}=64\). Then \(S = 4\pi\times64\).
Since \(\pi\approx3.14\), \(S=4\times3.14\times64\).
\(4\times3.14 = 12.56\), and \(12.56\times64=(12 + 0.56)\times64=12\times64+0.56\times64=768+35.84 = 803.84\approx804\)

Answer:

C. 804