What is the surface area of a sphere with a radius of 30 m? 1,800π m2 90,000π m2 3,600π m2 900π m2
The surface area A of a sphere:
\(A=4 \pi r^2\)
r - the radius
\(r=30 \ m \\ \\
A=4 \pi \times 30^2=4 \pi \times 900=3600\pi \ [m^2]\)
The surface area of the sphere is 3600π m².
Answer:
C. \(3600\pi \text{ m}^2\)
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.
\(\text{Surface area of sphere}=4\pi r^2\), where r represents radius of sphere.
\(\text{Surface area of sphere}=4\pi*(30\text{ m})^2\)
\(\text{Surface area of sphere}=4\pi*900\text{ m}^2\)
\(\text{Surface area of sphere}=3600\pi \text{ m}^2\)
Therefore, the surface area of our given sphere is \(3600\pi \text{ m}^2\) and option C is the correct choice.