Certainly! To find the surface area of a sphere, you would use the surface area formula, which is:
\[ \text{Surface Area} = 4\pi r^2 \]
However, we are given the diameter of the sphere, which is twice the radius. Since the diameter is 10 centimeters, the radius (r) would be half of that, which is:
\[ r = \frac{\text{Diameter}}{2} = \frac{10}{2} = 5 \text{ cm} \]
Now, we can use the radius to calculate the surface area of the sphere in terms of π using the formula:
\[ \text{Surface Area} = 4\pi r^2 = 4\pi (5^2) \]
\[ \text{Surface Area} = 4\pi (25) \]
\[ \text{Surface Area} = 100\pi \]
So, the surface area of the sphere expressed in terms of π is:
\[ 100\pi \text{ square centimeters} \]
