What is the ratio of the Earth's density to that of Venus? Their radii are 6378 km and 6051 km,and their masses 5.97 *10²⁴ kg and 4.87 * 10²⁴ kg,respectively. A)0.96 B)1.05 C)1.16 D)1.44

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Quizplus · Accepted Answer

The density of a planet can be calculated using the formula $\rho = \frac{M}{\frac{4}{3}\pi r^3}$, where $M$ is the mass and $r$ is the radius of the planet. For Earth, $\rho_{Earth} = \frac{5.97 \times 10^{24}}{\frac{4}{3}\pi (6378 \times 10^3)^3}$ and for Venus, $\rho_{Venus} = \frac{4.87 \times 10^{24}}{\frac{4}{3}\pi (6051 \times 10^3)^3}$. Calculating these densities and then taking the ratio $\frac{\rho_{Earth}}{\rho_{Venus}}$ gives approximately 1.05.

What Is the Ratio of the Earth's Density to That