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 ball?
o a. 201
o b. 402
o c. 804
o d. 3,215

Explanation:

Step1: Find the radius

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

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 \(r = 8\) into the formula: \(A=4\pi(8)^{2}\).
First, calculate \((8)^{2}=64\). Then \(A = 4\pi\times64=256\pi\).
Take \(\pi\approx3.14\), so \(A\approx256\times3.14 = 803.84\).

Answer:

C. 804