Question
The surface area of a sphere is 57.76 pi
what is the radius of this sphere?
- 18.4
- 14.44
- 3.8
- 4.3
- 7.9
- 5.81
- 2
what is the radius of this sphere?
- 18.4
- 14.44
- 3.8
- 4.3
- 7.9
- 5.81
- 2
Answers
GPT-4o mini
The surface area \( A \) of a sphere is given by the formula:
\[
A = 4\pi r^2
\]
where \( r \) is the radius of the sphere. Given that the surface area is \( 57.76\pi \), we can set up the equation:
\[
4\pi r^2 = 57.76\pi
\]
Dividing both sides by \( \pi \):
\[
4r^2 = 57.76
\]
Now, divide both sides by 4:
\[
r^2 = \frac{57.76}{4} = 14.44
\]
Taking the square root of both sides gives:
\[
r = \sqrt{14.44} = 3.8
\]
Therefore, the radius of the sphere is \( 3.8 \).
The correct answer from the options provided is **3.8**.
\[
A = 4\pi r^2
\]
where \( r \) is the radius of the sphere. Given that the surface area is \( 57.76\pi \), we can set up the equation:
\[
4\pi r^2 = 57.76\pi
\]
Dividing both sides by \( \pi \):
\[
4r^2 = 57.76
\]
Now, divide both sides by 4:
\[
r^2 = \frac{57.76}{4} = 14.44
\]
Taking the square root of both sides gives:
\[
r = \sqrt{14.44} = 3.8
\]
Therefore, the radius of the sphere is \( 3.8 \).
The correct answer from the options provided is **3.8**.