a plastic ball with a volume of 33.5 cm^3 has a mass of 18.5g. what is its density? would the ball sink or float in a container of water (water has a density of 1.00 g/cm^3)

To determine the density of the plastic ball, you can use the formula:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

Given:
- Mass of the plastic ball \( m = 18.5 \, \text{g} \)
- Volume of the plastic ball \( V = 33.5 \, \text{cm}^3 \)

Substituting the values:

\[
\text{Density} = \frac{18.5 \, \text{g}}{33.5 \, \text{cm}^3} \approx 0.552 \, \text{g/cm}^3
\]

So, the density of the plastic ball is approximately \( 0.552 \, \text{g/cm}^3 \).

### Will the Ball Sink or Float?

The density of water is \( 1.00 \, \text{g/cm}^3 \). Since the density of the plastic ball (\( 0.552 \, \text{g/cm}^3 \)) is less than the density of water, the ball will **float** in water.

Would you like more details or have any other questions?

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Here are 8 related questions:
1. How would the mass need to change for the ball to have the same density as water?
2. What would be the volume of a plastic ball with a mass of 25g and the same density?
3. How do you calculate the buoyant force acting on the ball in water?
4. What factors affect whether an object sinks or floats in a liquid?
5. How does the density of a liquid affect the floating or sinking of an object?
6. What is the percentage of the ball's volume that will be submerged in water?
7. How does the density of the plastic compare to common liquids like oil or alcohol?
8. What is the relationship between mass, volume, and density in determining whether an object floats or sinks?

**Tip:** An object will float in a liquid if its density is less than the density of the liquid. The percentage of the object submerged corresponds to the ratio of the object’s density to the liquid’s density.

Learn how to calculate the density of a plastic ball and determine whether it will float or sink in water. Given a plastic ball with a volume of 33.5 cm^3 and a mass of 18.5g, find its density and predict its behavior in water (density = 1.00 g/cm^3). Explore related questions on mass changes, volume adjustments, and buoyant forces.

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