volume of a sphere $=\frac{4}{3} \pi r^{3}$, where $r$ is the radius.
The bouncy ball below is a sphere with a volume of $4800 \pi \mathrm{mm}^{3}$.
Calculate its radius, $r$.
If your answer is a decimal, give it to 2 d.p.
Answer
Final Answer: The radius of the sphere is \(\boxed{15.33}\) mm.
Step 1 ：We are given the volume of the sphere and we need to find the radius. We can use the formula for the volume of a sphere, which is \(\frac{4}{3} \pi r^{3}\), and solve for r.
Step 2 ：We can do this by first multiplying both sides of the equation by \(\frac{3}{4\pi}\) to isolate \(r^{3}\).
Step 3 ：\(r^{3} = \frac{3V}{4\pi} = \frac{3 \times 4800\pi}{4\pi} = 3600\)
Step 4 ：Then, we take the cube root of both sides to solve for r.
Step 5 ：\(r = \sqrt[3]{3600} = 15.33\)
Step 6 ：Final Answer: The radius of the sphere is \(\boxed{15.33}\) mm.
