Question

What is the surface area of a dome (a half sphere) with a radius of 6 meters?

72 pi meters squared
48 pi meters squared
24 pi meters squared
144 pi meters squared

Answer 1

Answer: 72π meters squared.

Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;

1. Replace the value in the formula: A=4πr² → A=4π6²
2. Solve the exponent first: A=4π6² → A=4π36
3. The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π
4. 144π is the surface area of the whole sphere, so half the sphere will be 72π.
5. In conclusion, the surface area of the dome will be 72π meters squared.