Sure. Let's perform each step of the calculation.
1. Convert the planet's mass from kilograms to grams. There are 1000 grams in a kilogram, so we'll multiply 5.97×10^25 kilograms by 1000. This gives us a mass of 5.97×10^28 grams.
2. Convert the planet's radius from kilometers to meters. There are 1000 meters in a kilometer, so we’ll multiply 12,500 kilometers by 1000. This gives us a radius of 12,500,000 meters.
3. Now, we need to calculate the volume of the planet. We'll use the formula for the volume of a sphere, which is V = 4/3 * π * r³. Plugging our radius into this formula gives us a volume of 8.181230868723419×10^21 cubic meters.
4. Finally, we'll use the formula for density, which is D = m/V (density equals mass divided by volume). Our mass is 5.97×10^28 grams and our volume is 8.181230868723419×10^21 cubic meters. After the division, we get a density of approximately 7,297,190.478 grams per cubic meter.
So, the density of the planet is approximately 7,297,190.478 grams per cubic meter.