Question

quiz 2: surface area
the surface area of a sphere with a diameter of 12 units is:
◯ 427.0 units².
◯ 452.2 units².
◯ 703.4 units².
◯ 866.6 units².

Explanation:

Step1: Find the radius

The diameter \( d = 12 \) units, so the radius \( r=\frac{d}{2}=\frac{12}{2} = 6 \) units.

Step2: Use the surface area formula for a sphere

The formula for the surface area of a sphere is \( SA = 4\pi r^{2} \). Substitute \( r = 6 \) into the formula:
\( SA=4\pi(6)^{2}=4\pi\times36 = 144\pi \approx 144\times3.1416\approx452.2 \) units².

Answer:

452.2 units² (the option with 452.2 units²)