Hot makes you cold, and vice versa

Because of the physiology of our bodies, drinking cold water or liquids when we're hot does not make us cooler (the consumption of liquid nitrogen, oxygen, or any other super cooled liquid being the exception, of course). By drinking a cold beverage you fool your body into thinking your core is cooler than what it actually is, and when we're cold our body reduces the flow of blood to our skin surface and extremities to reduce heat loss, so we're making our body do the very opposite of what we really need it to do. By drinking a hot beverage the reverse occurs, our body thinks our core is hotter than what it actually is so it increases the flow of blood to our skin surface and extremities to promote heat loss; despite this, when we're hot and sweaty a hot cup of tea or coffee is usually the last thing on our minds.

I was on the Elliptical Trainer at the gym this morning for all of 12 minutes. I started off at 130spm(strides per minute), after about 3 minutes stepped it up to 150spm for 5 minutes, then finished off the last two minutes or so at 170spm, before slowing right down for a couple of minutes around 100spm. Apparently I burned up 1600 calories in just 12 minutes. I didn't really start perspiring until about 5 minutes in to the workout, but the difference between the Elliptical Trainer and the Treadmill is not just in the impact level of the workout (with two dodgy knees I want as low impact as I can get), I usually don't perspire anywhere near as much using a treadmill as I do on the Elliptical Trainer. I also seem to have to run for 20 to 30 minutes on a treadmill for it to tell me I've burned anywhere near 1000 calories, let alone 1600.

Let's see...if I have a 3-foot (or 1 yard) stride, then in the 12 minutes I did:
3x130 + 5x150 + 2x170 + 2x100 = 1680 strides
1680 strides = 0.95 miles in 12 minutes = approx. 4.75 miles per hour
which is not even what I set the treadmill on for a workout, so why was I sweating like a pig for doing considerably less than the average treadmill workout, and why was I still sweating at work almost an hour later...well that was because the building management decided to follow Mayor Villaraigosa's idiotic directive and set the thermostat at 78F so it's not like the building was cool when we got here.

But if my calculations are correct, I took approx. 1600 strides, and the machine claimed I burned off 1600 calories...that's like 1 calorie per step! I reckon I burned off more though, what with the rate I was perspiring even after I'd finished exercising, but still...1600 calories in 12 minutes??? I dont even burn off that much after 30 minutes on the treadmill.

How can 12 minutes on the Elliptical Trainer provide a more intensive workout than 30 minutes on the treadmill? Riddle me that, Edward Nigma.