A hemisphere with a diameter of 24 meters is dilated with a scale factor of [tex]k=0.5[/tex]. What is the surface area of the new hemisphere?
A. [tex]72 \pi \, \text{m}^2[/tex]
B. [tex]144 \pi \, \text{m}^2[/tex]
C. [tex]288 \pi \, \text{m}^2[/tex]
D. [tex]576 \pi \, \text{m}^2[/tex]