Wiki has an entry on this statue, or at least its style. This is a copy of the original modest Aphrodite, called the Cnidian Aphrodite. The original is from the 4th century BC. I cannot find a date for this copy, the Ludovisi Aphrodite.

The original was a favorite of the ancient world, partiularly the common people. The statue was originally placed in the center of a room, so that it could be admired from every angle.

So these views are simply admiring her as she is meant to be admired.

This Apollo, with the penis carefully removed, is included here for comparison to his companion in the same room. Both are examples of the Apollo Citharoedus type - Apollo with a lyre (cithara).

Included for observation of penis. My original assumption was that these Apollos had new heads - and indeed they do, but they are probably fairly faithful to the originals. Apollo was often portrayed as having somewhat androgenous features, meant to be the ideal of the kouros, beardless youth. Both are probably modeled after the same 2nd century BC original, but I don't have a year for these copies.