The beach ball's density, floating with 10% submerged volume, is approximately 1 g/cm³ or 1000 kg/m³, mirroring the density of water. This assumes uniform density and neglects minor factors like trapped air.
The density of an object is defined as its mass per unit volume. In the case of the beach ball floating with 10% of its volume submerged, we can infer that the buoyant force acting on the beach ball is equal to the weight of the volume of water displaced by the submerged portion.
Since the ball is floating, the buoyant force is balancing the gravitational force acting on the entire ball. This implies that the density of the beach ball is equal to the density of water.
The density of water is approximately 1 gram per cubic centimeter (g/cm³) or 1000 kilograms per cubic meter (kg/m³). Therefore, the density of the beach ball, when floating with 10% of its volume submerged, is also approximately 1 g/cm³ or 1000 kg/m³.
This assumes uniform density throughout the beach ball and neglects factors like air trapped inside the ball, which might slightly affect the overall density.