To find the surface area of a sphere, you can use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
where \( r \) is the radius of the sphere. The diameter of the sphere is given as 30 inches, so the radius \( r \) is half of that:
\[ r = \frac{30}{2} = 15 \text{ inches} \]
Now, plug the radius into the surface area formula:
\[ \text{Surface Area} = 4\pi (15)^2 \]
Calculating \( (15)^2 \):
\[ (15)^2 = 225 \]
Now substitute this back into the formula:
\[ \text{Surface Area} = 4\pi \times 225 \]
Calculating \( 4 \times 225 \):
\[ 4 \times 225 = 900 \]
Thus, we have:
\[ \text{Surface Area} = 900\pi \text{ in}^2 \]
Therefore, the surface area of the sphere is \( 900\pi \text{ in}^2 \).
The correct response is:
900π in.² (or 900 pi inches squared)
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