The observable universe is estimated to have a radius of about 46.5 billion light-years or approximately 4.39 × 10^26 meters. To calculate the volume of a sphere with this radius, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
Substituting the radius into the formula:
V = (4/3) * π * (4.39 × 10^26)^3
Calculating the volume using this equation:
V ≈ 8.91 × 10^80 cubic meters
Therefore, the volume of a sphere with a radius equal to the edge-length of the observable universe is approximately 8.91 × 10^80 cubic meters.