Luxor's Obelisk

 

This obelisk came from Luxor's temple
and can currently be seen in the centre
of the Concorde square in Paris

In 1831, the obelisk was offered
by the vice-king of Egypt to France,
but it was only erected in 1836
after Champollion's death.

The uppermost piece, called a pyramidion, is a pyramid with a squared base with side 1.66 m and height 3.60m. What is its volume in m³, rounded to the nearest tenth?