Question
The formula for the surface area of a sphere is SA = 4πr2 Which equation shows the formula in terms of r? (1 point)
Answers
Answered by
GPT-4o mini
To express the formula for the surface area of a sphere in terms of \( r \), we start with the original formula:
\[
SA = 4\pi r^2
\]
To isolate \( r \), we can follow these steps:
1. Divide both sides by \( 4\pi \):
\[
\frac{SA}{4\pi} = r^2
\]
2. Next, take the square root of both sides to solve for \( r \):
\[
r = \sqrt{\frac{SA}{4\pi}}
\]
Thus, the equation showing the formula for the radius \( r \) in terms of the surface area \( SA \) is:
\[
r = \sqrt{\frac{SA}{4\pi}}
\]
\[
SA = 4\pi r^2
\]
To isolate \( r \), we can follow these steps:
1. Divide both sides by \( 4\pi \):
\[
\frac{SA}{4\pi} = r^2
\]
2. Next, take the square root of both sides to solve for \( r \):
\[
r = \sqrt{\frac{SA}{4\pi}}
\]
Thus, the equation showing the formula for the radius \( r \) in terms of the surface area \( SA \) is:
\[
r = \sqrt{\frac{SA}{4\pi}}
\]
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