Final answer:
To find the surface area of a sphere given the axis of 16 units, calculate the radius as half of the axis, then use the formula Surface area = 4 π r² to obtain the surface area, which is 256 π square units.
Step-by-step explanation:
The student has provided the axis length of a sphere, which is twice the radius, and needs to find the surface area of the sphere. The formula to calculate the surface area of a sphere is Surface area = 4 π r².
To find the surface area when given the axis (diameter) of the sphere, first, we need to find the radius. The radius is half the axis, so in this case, it is 16 units / 2 = 8 units. Then, we apply the formula:
Surface area = 4 π (8 units)²
Surface area = 4 π (64 units²)
Surface area = 256 π units²
Therefore, the surface area of the sphere is 256 π square units.