Jupiter's mass is estimated to be 1.90 *10²⁷ kg, and it has a diameter of 142,984 km. Assuming that Jupiter is spherical, estimate its density (the volume of a sphere is 4 $\pi$r³/3).

Question

Quizplus · Accepted Answer

To find the density, use the formula: Density = Mass/Volume. First, calculate the volume of Jupiter using the formula for the volume of a sphere: V = 4/3 * π * (radius)^3. The radius is half the diameter, so 142,984 km / 2 = 71,492 km = 7.1492 x 10^7 m. Convert the mass to kg and volume to m^3, then calculate the density in kg/m^3 and convert to g/cm^3. The result is approximately 1.24 g/cm^3.

Jupiter's Mass Is Estimated to Be 1 π\piπ R3/3)

Jupiter's Mass Is Estimated to Be 1 $\pi$ R³/3)