Answer:
201.1 mm²
Step-by-step explanation:
Smaller sphere = 8
Larger sphere = 15
Larger sphere surface area = 706.9 mm²
Smaller sphere surface area = x
Hence:
Since we are dealing with surface area
8²/15² = x/ 706.9
Cross Multiply
15² × x = 706.9 × 8²
x = 706.9 × 8²/15²
x = 201.07377778 mm²
x ≈ 201.1 mm²
Therefore, the surface area of the smaller sphere is 201.1 mm²