Final answer:
The surface area of a dome, which is a half sphere with a radius of 6 meters, is calculated using the formula ½(4πr²) that simplifies to 72π square meters, corresponding to Option A.
Step-by-step explanation:
The question asks for the surface area of a dome that is a half sphere with a given radius of 6 meters. In mathematics, the formula to calculate the surface area of a sphere is 4πr², but since we are dealing with a dome (a half sphere), we will need half the surface area of a full sphere. Therefore, we use the formula ½(4πr²) => 2πr².
By substituting the given radius into this formula, we obtain:
• 2π(6 m)²
= 2π(36 m²)
= 72π square meters
Thus, the correct answer is Option A: 72π square meters.