The mass of sunis `2.0xx10^(30)kg` and its radius is `7.0xx10^(8)m`. Find the mass density?

Explanation

To find the mass density of the Sun, we can follow these steps:

### Step 1: Identify the given values
- Mass of the Sun (m) = \(2.0 \times 10^{30} \, \text{kg}\)
- Radius of the Sun (R) = \(7.0 \times 10^{8} \, \text{m}\)

### Step 2: Calculate the volume of the Sun
The formula for the volume (V) of a sphere is given by:

\[ V = \frac{4}{3} \pi R^3 \]

Substituting the value of R:

\[ V = \frac{4}{3} \pi (7.0 \times 10^{8})^3 \]

Calculating \(R^3\):

\[ R^3 = (7.0 \times 10^{8})^3 = 3.43 \times 10^{26} \, \text{m}^3 \]

Now substituting this back into the volume formula:

\[ V = \frac{4}{3} \times 3.14 \times 3.43 \times 10^{26} \]

Calculating this gives:

\[ V \approx 1.437 \times 10^{27} \, \text{m}^3 \]

### Step 3: Calculate the mass density
The mass density (\(\rho\)) is calculated using the formula:

\[ \rho = \frac{m}{V} \]

Substituting the values we have:

\[ \rho = \frac{2.0 \times 10^{30} \, \text{kg}}{1.437 \times 10^{27} \, \text{m}^3} \]

Calculating this gives:

\[ \rho \approx 1.39 \times 10^{3} \, \text{kg/m}^3 \]

### Final Answer
The mass density of the Sun is approximately \(1.39 \times 10^{3} \, \text{kg/m}^3\).

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