To find the surface area of a sphere, we use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
where \( r \) is the radius of the sphere. Given that the diameter of the sphere is 30 inches, the radius \( r \) is half the diameter, which is:
\[ r = \frac{\text{Diameter}}{2} = \frac{30 \text{ inches}}{2} = 15 \text{ inches} \]
Now we can plug the radius into the formula to calculate the surface area:
\[ \text{Surface Area} = 4\pi (15 \text{ inches})^2 \]
\[ \text{Surface Area} = 4\pi (225 \text{ inches}^2) \]
\[ \text{Surface Area} = 900\pi \text{ inches}^2 \]
Therefore, the correct answer is:
\[ 900\pi \text{ inches}^2 \]
Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi.(1 point)
Responses
225π in.2
225 pi inches squared
2,826π in.2
2,826 pi inches squared
900π in.2
900 pi inches squared
3,600π in.2
1 answer