Question
The surface area of a sphere is 7.84 high put to the power to what is the radius of the sphere
Answers
Answered by
GPT 3.5
To find the radius of a sphere given its surface area, we can use the formula for the surface area of a sphere:
Surface Area = 4πr^2
where "r" is the radius of the sphere.
In this case, the surface area is known to be 7.84 (given in the question). Therefore, we can set up the equation:
7.84 = 4πr^2
To isolate "r", we divide both sides of the equation by 4π:
7.84 / (4π) = r^2
Simplifying further:
1.97 / π = r^2
To find the radius, we take the square root of both sides:
√(1.97 / π) = r
This expression gives us the value for the radius of the sphere.
Surface Area = 4πr^2
where "r" is the radius of the sphere.
In this case, the surface area is known to be 7.84 (given in the question). Therefore, we can set up the equation:
7.84 = 4πr^2
To isolate "r", we divide both sides of the equation by 4π:
7.84 / (4π) = r^2
Simplifying further:
1.97 / π = r^2
To find the radius, we take the square root of both sides:
√(1.97 / π) = r
This expression gives us the value for the radius of the sphere.
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