1. **Problem Statement:** Calculate the radius of a sphere if its volume is 904.32 cm³. 2. **Formula Used:** The volume $V$ of a sphere is given by the formula: $$V = \frac{4}{3} \pi r^3$$ where $r$ is the radius of the sphere. 3. **Step-by-step Solution:** - Given volume $V = 904.32$ cm³. - Using $\pi = 3.1416$ (approximate value). - Rearranging the formula to solve for $r$: $$r^3 = \frac{3V}{4\pi}$$ - Substitute the values: $$r^3 = \frac{3 \times 904.32}{4 \times 3.1416} = \frac{2712.96}{12.5664} = 215.9$$ - Now find the cube root: $$r = \sqrt[3]{215.9} \approx 6.0 \text{ cm}$$ 4. **Explanation:** We used the volume formula of a sphere and rearranged it to find the radius. By substituting the given volume and calculating the cube root, we found the radius. 5. **Final Answer:** $$\boxed{6.0 \text{ cm}}$$