Answer:4.9987
Explanation:
Formula for the volume of a cylinder: (π)(r^2)(h) which is pi x radius squared x height
The final product is 314 therefore you make that number equal to the formula and plug in the known variables to the formula which becomes
314 = (π)(r^2)(4)
Since you know both the value for pi and the height, by following the reverse order of PEMDAS (because we are trying to solve for an unknown variable), you can divide the values of height and pi from both sides since they are being multiplied to radius squared. We are doing this in order to isolate the radius on one side which will give us the value for the radius.
This leaves you with 24.9873 = r^2
The final step is to squareroot both sides as squareroot eliminates a square.
This leaves us with
r = 4.9987