Calculate the Sun's average density in kilograms per liter....

Calculate the Sun's average density in kilograms per liter. The Sun's mass is approximately $2 \times 10^{30} \mathrm{kg} .$ Its radius is approximately $7 \times 10^{8} \mathrm{m} .$ Show that its average density is approximately $1.4 \mathrm{kg} / \mathrm{L}$.

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Key Concepts

Unit Conversion

Unit conversion is the process of switching between different units of measurement to ensure consistency in calculations. In this context, it involves converting the volume from cubic meters to liters since 1 cubic meter is equivalent to 1000 liters, thereby allowing the computed density to be expressed in kilograms per liter.

Scientific Notation

Scientific notation is a method used to simplify the arithmetic of very large or very small numbers by expressing them as a product of a coefficient and a power of ten. This technique is especially important in astronomical calculations where quantities such as mass and radius are extremely large.

Density

Density is a measure of mass per unit volume and is calculated by dividing the mass of an object by its volume. It is a key concept in physics that helps describe the distribution of mass within an object and is used to characterize the properties of materials or astronomical bodies.

Volume of a Sphere

The volume of a sphere is calculated using the formula (4/3)?r³, where r is the radius. This formula is essential when determining how much space a spherical object occupies and is widely applied in both theoretical and practical problems involving spherical shapes.

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