Step 1 :We are given the volume of the sphere and we need to find the radius. We can rearrange the formula to solve for the radius. The rearranged formula would be \(r = \left(\frac{3V}{4\pi}\right)^{\frac{1}{3}}\).
Step 2 :We can then substitute the given volume into the formula and solve for the radius.
Step 3 :Substituting the given volume, \(V = 3979948\), into the formula, we get \(r = \left(\frac{3 \times 3979948}{4\pi}\right)^{\frac{1}{3}}\).
Step 4 :Solving for \(r\), we get \(r = 98.30967555823234\).
Step 5 :Rounding to two decimal places, we get \(r = 98.31\).
Step 6 :Final Answer: The radius of the sphere is approximately \(\boxed{98.31}\) centimeters.