To find the surface area of a sphere, use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
Given that the diameter is 30 inches, the radius \( r \) is:
\[ r = \frac{\text{diameter}}{2} = \frac{30}{2} = 15 \text{ inches} \]
Now, plug the radius into the formula for surface area:
\[ \text{Surface Area} = 4\pi (15)^2 \] \[ = 4\pi (225) \] \[ = 900\pi \text{ in}^2 \]
So, the surface area of the sphere is:
\[ 900\pi \text{ in}^2 \]
The correct answer is:
900π in.²
3 answers