Density of a neutron star is `2.7xx10^(17)kg m^(-3)`. Assume the star to be spherical, calculate the radius of the neutron star if its mass is twice the mass of the sun. Take mass of the sun `=2.0xx10^(30)kg`

Explanation

To solve the problem of finding the radius of a neutron star given its density and mass, we can follow these steps:

### Step 1: Understand the given data
- Density of the neutron star, \( \rho = 2.7 \times 10^{17} \, \text{kg/m}^3 \)
- Mass of the neutron star, \( M = 2 \times \text{mass of the sun} = 2 \times 2.0 \times 10^{30} \, \text{kg} = 4.0 \times 10^{30} \, \text{kg} \)

### Step 2: Use the formula for density
The formula for density is given by:
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