1. **State the problem:** We need to find the mass of water inside a spherical balloon filled with water.
2. **Given data:**
- Density of water $\rho = 1$ g/cm$^3$
- Radius of the sphere $r = 5$ cm
3. **Formula used:**
The mass $m$ of an object is given by the formula:
$$m = \rho \times V$$
where $V$ is the volume of the object.
4. **Volume of a sphere:**
The volume $V$ of a sphere with radius $r$ is:
$$V = \frac{4}{3} \pi r^3$$
5. **Calculate the volume:**
$$V = \frac{4}{3} \pi (5)^3 = \frac{4}{3} \pi 125 = \frac{500}{3} \pi$$
6. **Calculate the mass:**
$$m = 1 \times \frac{500}{3} \pi = \frac{500}{3} \pi$$
7. **Approximate the mass:**
Using $\pi \approx 3.1416$,
$$m \approx \frac{500}{3} \times 3.1416 = 523.6$$
**Final answer:** The mass of the water inside the balloon is approximately **523.6 grams**.
Water Mass 7020A9
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