Find the diameter of the sphere to the nearest inch given the surface area is 271.6 square inches. I know the formula is v= 4 over 3 pie r square but how do I connect the question to it?
To find the diameter of a sphere given its surface area, you can use the formula for the surface area of a sphere:
Surface Area = 4πr²
In this case, you are given that the surface area is 271.6 square inches. Therefore, we can set up the equation as follows:
271.6 = 4πr²
To find the diameter, we need to first find the radius (r) of the sphere. Let's rearrange the equation to solve for r:
r² = (271.6) / (4π)
Now, we can solve for r by taking the square root of both sides of the equation:
r = √[(271.6) / (4π)]
Once you have the value of r, you can calculate the diameter (d) by multiplying the radius by 2:
d = 2r
So, to find the diameter, plug in the value of r that you calculated into the formula and evaluate it.
Note: Remember to use an accurate value of pi (π) in your calculations.
The surface area of a sphere is 4 * pi * r^2
271.6 = 4 * 3.14 * r^2
http://www.math.com/tables/geometry/surfareas.htm