Respuesta :

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The surface area A of a sphere:
[tex]A=4 \pi r^2[/tex]
r - the radius

[tex]r=30 \ m \\ \\ A=4 \pi \times 30^2=4 \pi \times 900=3600\pi \ [m^2][/tex]

The surface area of the sphere is 3600π m².

Answer:

C. [tex]3600\pi \text{ m}^2[/tex]

Step-by-step explanation:

We are asked to find the surface area of a sphere with a radius of 30 m.

We will use surface area of sphere formula to solve our given problem.

[tex]\text{Surface area of sphere}=4\pi r^2[/tex], where r represents radius of sphere.

[tex]\text{Surface area of sphere}=4\pi*(30\text{ m})^2[/tex]

[tex]\text{Surface area of sphere}=4\pi*900\text{ m}^2[/tex]

[tex]\text{Surface area of sphere}=3600\pi \text{ m}^2[/tex]

Therefore, the surface area of our given sphere is [tex]3600\pi \text{ m}^2[/tex] and option C is the correct choice.