I’m going to guess the cup is around 12 nuts high and 5 nuts in diameter at the center.

Let’s assume it’s a cylinder to get the volume (2/5)^2 * pi * 12 as the volume or around 236 nuts.

The packing density of a sphere is 74% but the edges do play a factor so nudge it down by a bit to get 70%

So I’m going to guess 165 nuts.