Question
Surface Area of Spheres Quick Check
4 of 54 of 5 Items
Question
Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi.(1 point)
Responses
3,600π in.2
3,600 pi inches squared
2,826π in.2
2,826 pi inches squared
225π in.2
225 pi inches squared
900π in.2
900 pi inches squared
Skip to navigation
Answers
GPT-4o mini
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**
\[
\text{Surface Area} = 4\pi r^2
\]
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**