As shown in the picture, the length of the generatrix of the cone-shaped tent roof is AB = 10.0, the bottom radius is BO = 5.0, and the lateral area of ​​the cone-shaped tent roof (excluding the seams) is ()
Choices:
A:15πm^{2}
B:30πm^{2}
C:50πm^{2}
D:75πm^{2}
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the picture, the length of the generatrix of the cone-shaped tent roof is AB = 10.0, the bottom radius is BO = 5.0, and the lateral area of ​​the cone-shaped tent roof (excluding the seams) is ()
Choices:
A:15πm^{2}
B:30πm^{2}
C:50πm^{2}
D:75πm^{2}
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the picture, the length of the generatrix of the cone-shaped tent roof is AB = 10.0, the bottom radius is BO = 5.0, and the lateral area of ​​the cone-shaped tent roof (excluding the seams) is ()
Choices:
A:15πm^{2}
B:30πm^{2}
C:50πm^{2}
D:75πm^{2}