A ball has a volume of 5000 cm³. Calculate the radius of the ball, rounded to one decimal place. Use π ≈ 3.14.

The volume $V$ of a sphere with radius $r$ is given by:

$$V = \frac{4}{3}\pi r^3$$

Given $V = 5000 \text{ cm}^3$ and $\pi = 3.14$.

$$5000 = \frac{4}{3}(3.14) r^3$$

Multiply both sides by 3:

$$5000 \times 3 = 4(3.14) r^3$$ $$15000 = 12.56 r^3$$

Divide both sides by 12.56:

$$r^3 = \frac{15000}{12.56}$$

$$r = \sqrt[3]{1194.2675}$$ $$r \approx 10.6109 \text{ cm}$$

$$r \approx 10.6 \text{ cm}$$

The radius of the ball is $\text{10.6 cm}$.