The surface area of a sphere is 93.4m square. What's the radius of the sphere?
To find the radius of a sphere when the surface area is given, we need to use the formula for the surface area of a sphere.
The formula for the surface area of a sphere is given by:
Surface Area = 4πr^2
where r is the radius of the sphere.
In this case, we are given that the surface area is 93.4 square meters. So we can set up the equation as follows:
93.4 = 4πr^2
To solve for the radius, we need to isolate the variable r.
Divide both sides of the equation by 4π:
93.4 / (4π) = r^2
Simplify:
r^2 = 93.4 / (4π)
r^2 ≈ 7.4584
Taking the square root of both sides, we find:
r ≈ √7.4584
r ≈ 2.73 meters (rounded to two decimal places)
Therefore, the radius of the sphere is approximately 2.73 meters.
To find the radius of the sphere, we can use the formula for the surface area of a sphere.
The formula for the surface area of a sphere is given by:
Surface area = 4πr^2
Given that the surface area of the sphere is 93.4 square meters, we can set up the equation as follows:
93.4 = 4πr^2
To solve for the radius (r), we need to rearrange the equation:
Divide both sides of the equation by 4π:
93.4 / (4π) = r^2
Now, divide both sides by π:
(93.4 / (4π)) = (r^2 / π)
Simplify the equation:
r^2 = (93.4 / (4π))
Take the square root of both sides to solve for r:
r = √(93.4 / (4π))
Calculating the value of r with a suitable π approximation (e.g., 3.14):
r ≈ √(93.4 / (4 * 3.14))
r ≈ √(93.4 / 12.56)
r ≈ √7.44
r ≈ 2.73 meters
Therefore, the radius of the sphere is approximately 2.73 meters.
http://www.math.com/tables/geometry/surfareas.htm
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