Question

1. what is the surface area of a dome (a half sphere) with a radius of 12 meters?$288\pi$ meters squared$576\pi$ meters squared$48\pi$ meters squared$96\pi$ meters squared

Explanation:

Step1: Recall sphere surface area formula

The surface area of a full sphere is $SA_{sphere}=4\pi r^2$.

Step2: Find half-sphere surface area

Since the dome is a half-sphere, use $SA_{dome}=\frac{1}{2} \times 4\pi r^2=2\pi r^2$.

Step3: Substitute $r=12$ meters

$SA_{dome}=2\pi (12)^2=2\pi \times 144=288\pi$

Answer:

288π meters squared