42.3k views
5 votes
What is the surface area of a dome (a half sphere) with a radius of 6 meters?

A. 72π square meters
B. 24π square meters
C. 144π square meters
D. 48π square meters

1 Answer

5 votes

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.

User Zliw
by
8.4k points