The surface area of a sphere is 64rr square centimeters. Find the radius.
4PIr^2=64
solve for r.
To find the radius of a sphere given its surface area, we can use the following formula:
Surface Area of a Sphere = 4πr^2
Here, "r" represents the radius of the sphere. And the value "π" is a mathematical constant that is approximately equal to 3.14159.
So, in the given problem, we have the equation:
64πr^2 = Surface Area of the Sphere
To find the radius, let's divide both sides of the equation by 64π:
(64πr^2) / (64π) = Surface Area of the Sphere / (64π)
Simplifying this equation, we get:
r^2 = Surface Area of the Sphere / (64π)
Now, substituting the given surface area into the equation, we have:
r^2 = 64rr / (64π)
Next, we can cancel out the common factors:
r^2 = r / π
Finally, solving for "r," we can take the square root of both sides of the equation:
√(r^2) = √(r/π)
This simplifies to:
r = √(r/π)
Hence, the radius of the sphere can be found by taking the square root of the "r/π" value.