Question

Find the surface area of a sphere with a diameter of 30 inches leave ur answer in terms of pi

Answer 1

To find the surface area of a sphere, we use the formula:

\[
S = 4\pi r^2
\]

where \( r \) is the radius of the sphere.

Given that the diameter of the sphere is 30 inches, we can find the radius by dividing the diameter by 2:

\[
r = \frac{30}{2} = 15 \text{ inches}
\]

Now, we can substitute the radius into the surface area formula:

\[
S = 4\pi (15)^2
\]

Calculating \( (15)^2 \):

\[
(15)^2 = 225
\]

Now substituting that value back into the formula:

\[
S = 4\pi (225) = 900\pi
\]

Thus, the surface area of the sphere is:

\[
\boxed{900\pi} \text{ square inches}
\]