How much does the volume of our universe increase by as it expands?

The average rate for radius is one light year per year.

To this end, I take our universe to be a 4-D (x, y, z, t)-

hypersphere with functions for x, y, z, and a = x^2+y^2+z^2+t^2=a^2.

T.

' indicates a difference in relation to t.

At this point, a = 13.77 light years and a' = almost 1 light tear/year.

The hypersphere's surface area is equal to the rate of change in volume.

The volume expansion rate of a 3-D sphere is

I've provided some food for thought; this is by no means exhaustive.

However, this opens the door to more investigation into these rates.

Citation:

Math. Student, 1972, pp. 305-307. A.S. Adikesavan, The rate of change of hypervolume is hypersurface.

The observable universe is estimated to expand at a rate of about 73.3 kilometers per second per megaparsec. Exact measurements of the universe's volume are difficult to come by.