Nice try, but no. The power radiates from the volume, then through the surface area.
On another note ; I just discovered that the video gives the dimensions of the cylinder that contains the plasma: 10cm tall by 10cm across.
But this is incompatible with my measurement of the Ballerina on a sixteen inch diagonal video screen, where I measured the Ballerina to be 16cm tall. How can the Ballerina be taller than the cylinder that contains the plasma? So something is amiss methinks. Yet by happy coincidence, my ad hoc Ballerina dimensions of 8cm by 4cm fit inside the cylinder. The true size of the Ballerina is now somewhat of a mystery. Perhaps it is indeed around 8cm by 4cm, and I'm psychic.
I see what has happened; the narration would be referring to the size of the Ballerina when the video screen has 6 different images on it, not when the Ballerina is full screen. (It happened to be full screen when the narrator described the dimensions, so that fooled me.) So, measuring the Ballerina as one of 6 different images on a 16 inch diagonal screen, the Ballerina is about 8.5 cm tall, so my ad hoc Ballerina dimensions are about correct.