The surface area of the sphere is 20.25pie square centimeters. What is the diameter of the sphere?
Roughly 2.54, source google calculator
To find the diameter of a sphere, we can use the formula for the surface area of a sphere, which is given as:
Surface Area = 4 * π * r^2,
where r is the radius of the sphere.
In this case, we are given the surface area of the sphere as 20.25π square centimeters. We can set up an equation using this information:
20.25π = 4 * π * r^2.
First, let's simplify the equation by canceling out the common factor of π:
20.25 = 4r^2.
Next, divide both sides of the equation by 4:
5.0625 = r^2.
Now, take the square root of both sides of the equation to solve for r:
r = √5.0625.
r = 2.25 (rounded to two decimal places).
Finally, double the value of the radius to find the diameter of the sphere:
Diameter = 2 * r = 2 * 2.25 = 4.5 centimeters.
Therefore, the diameter of the sphere is 4.5 centimeters.