A basketball size balloons filled with air has more density than a baseball size balloon filled with sand

Is this a true/false question?

This question can't be answered without some numbers. What is the weight of the baseball sized balloon filled with sand and what is the volume. Same thing for the basketball sized balloon filled with air.

Grheh

To determine the density of an object, you need to know its mass and volume. In the given scenario, we have two different types of balloons: one basketball-sized balloon filled with air, and one baseball-sized balloon filled with sand.

To compare the densities of these balloons, we first need to understand how to calculate density. Density is defined as the mass of an object per unit volume:

Density (ρ) = Mass (m) / Volume (V)

Let's break down the process for calculating the density of each balloon:

1. Basketball-sized balloon filled with air:
- The mass of the basketball-sized balloon filled with air can be measured using a scale.
- To determine its volume, you can either measure its radius and calculate the volume of a sphere or use a large graduated cylinder to measure the displacement of water when the balloon is submerged.
- With both the mass and volume known, you can divide the mass by the volume to calculate the density.

2. Baseball-sized balloon filled with sand:
- The mass of the baseball-sized balloon filled with sand can be determined using a scale.
- To measure its volume, you can calculate the volume of a sphere with the radius of a baseball or use a graduated cylinder to measure the displacement of water.
- Divide the mass by the volume to find the density.

Once you have calculated the densities of both balloons, you can compare them. If the basketball-sized balloon filled with air has a higher density than the baseball-sized balloon filled with sand, it means that the mass of the air-filled balloon is significantly higher compared to its volume, resulting in a greater density than the sand-filled balloon.

Keep in mind that the densities of actual balloons filled with air and sand may vary depending on various factors such as the actual mass, volume, and the specific type of sand being used.