Find the surface area of a sphere with a radius of 10 meters. Leave your answer in terms of pi. Show your work.(1 point)

1 answer

To find the surface area \( A \) of a sphere, we use the formula:

\[ A = 4\pi r^2 \]

where \( r \) is the radius of the sphere.

Given that the radius \( r \) is 10 meters, we can substitute this value into the formula:

\[ A = 4\pi (10)^2 \]

Calculating \( (10)^2 \):

\[ (10)^2 = 100 \]

Now substituting this back into the formula:

\[ A = 4\pi \cdot 100 \]

Now multiply:

\[ A = 400\pi \]

Thus, the surface area of the sphere is:

\[ \boxed{400\pi} \text{ square meters} \]