Final answer:
To calculate the density of Charon, convert its radius from kilometers to meters. The density of Charon is approximately 2.09 kilograms per cubic meter. Based on this density, it is not likely that Charon has a large iron core.
Step-by-step explanation:
To calculate the density of Charon, we first need to convert its radius from kilometers to meters. The radius of Charon is approximately 606 kilometers, so we multiply this value by 1000 to convert it to meters, giving us a radius of 606,000 meters.
Next, we calculate the volume of Charon using the formula for the volume of a sphere, V = (4/3)πr³, where r is the radius. Plugging in the radius we just calculated, we find that the volume of Charon is approximately 7.27 × 10^18 cubic meters.
Finally, we calculate the density of Charon using the formula density = mass/volume. The mass of Charon is given as 1.52 × 10^19 grams. To convert this mass to kilograms, we divide by 1000, giving us a mass of 1.52 × 10^16 kilograms. Dividing this mass by the volume we calculated earlier, we find that the density of Charon is approximately 2.09 kilograms per cubic meter.
Based on this density, it is not likely that Charon has a large iron core. Iron has a much higher density than 2.09 kilograms per cubic meter, so if Charon had a large iron core, its overall density would be much higher.