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) Responses 500π m2 500π m2 300π m2 300π m2 400π m2 400π m2 200π m2

Answer 1

To find the surface area \( A \) of a sphere, you can 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 \( (10)^2 \) gives:

\[ (10)^2 = 100 \]

Now substitute this back into the formula:

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

So:

\[ A = 400\pi \]

Therefore, the surface area of the sphere is:

\[ \boxed{400\pi} , \text{m}^2 \]