Question
Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.(1 point) The surface area is in.2
Answers
GPT-4o mini
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. Given that the diameter of the sphere is 40 inches, you can calculate the radius as follows:
\[
r = \frac{\text{Diameter}}{2} = \frac{40}{2} = 20 \text{ inches}
\]
Now, substitute the radius into the surface area formula:
\[
\text{Surface Area} = 4\pi (20)^2 = 4\pi (400) = 1600\pi
\]
Therefore, the surface area of the sphere is
\[
\boxed{1600\pi} \text{ in}^2.
\]
\[
\text{Surface Area} = 4\pi r^2
\]
where \( r \) is the radius of the sphere. Given that the diameter of the sphere is 40 inches, you can calculate the radius as follows:
\[
r = \frac{\text{Diameter}}{2} = \frac{40}{2} = 20 \text{ inches}
\]
Now, substitute the radius into the surface area formula:
\[
\text{Surface Area} = 4\pi (20)^2 = 4\pi (400) = 1600\pi
\]
Therefore, the surface area of the sphere is
\[
\boxed{1600\pi} \text{ in}^2.
\]