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Sun 18 Oct, 2009 01:04 pm
I could look up the formulas for figuring this out, but I'd rather ask at a2k for the fun of it.
Problem - I am going to make baked eggs. This involves about six beaten eggs, some tablespoons of water, and some additions, to include sliced mushrooms, some leftover pasta, olives, roasted dried tomatoes, garlic, cheese, etc.
I usually make my baked eggs in a glass pie plate, but today I decided I might try using a rectangular baking dish that is slightly taller than the pie plate. By eye, they look about the same size to me.
In reality, I'll mix the eggs and stuff and fill the dish to about a half inch from the brim - but I'm just curious re relative volumes.
I can figure cubic inches in the rectangular dish, but don't remember how to nab the space in the pie plate.
Let's pretend the rims of both dishes are perfectly plumb.
Rectangular dish interior dimensions - 9.5" long x 6.25" wide x 1.625" ht. I take this to be 96.48 cu inches.
Pie plate interior dimensions - 8.75" diameter x 1.375" ht. Formula?
@ossobuco,
You're trying to find the volumn of a pie pan, right?
Area of circle = pi x ( radius x radius )
Area of the pie pan x depth would equal the volumn - disregarding any slope at the edges of the pan. I think I would measure the pie pan halfway between top and bottom, and call it good enough.
The plate/dish is circular? So you're looking for the volume of a little cylinder, which is
base area x height
= pie times r squared times height
= 3.142 x 4.4 x 4.4 x 1.375
70 cu in
more or less
@McTag,
pi r squared, I remember that...
thanks, McT.
So my volume sense was off - the rectangular dish is a fair amount bigger. Adds another egg..
Adjusting the figures slightly, I got 84 cu inches, but I couldn't EDIT the post.
I hope the pie (did you like my joke?) tastes nice.
@McTag,
I was too obtuse to get it. Doh!!!
@ossobuco,
I see. His answer said "more or less". Mine said "good enough". Next time, I'll know.
@DrewDad,
pie r not square, pie r round
@DrewDad,
It was very quiche.. but less work. Turned out well, I had to have two slices.
I added a lot more stuff, including chopped jalapenos and half a polish dog, diced..
@farmerman,
Let's call it a custard, sans waterbath.
@farmerman,
ok then but
if the radius is "z" and the height is "a" then isn't the volume
pizza
@oolongteasup,
depends on the Z. In this case, we're dealing with a custardy concoction, and the height of the finished 'quiche' was above an inch of spicy goodness.
Says the pizza lover.
@ossobuco,
Oh, maybe with that Chicago stuff.
@ossobuco,
All engineering begins with calcs and actually develops a "proof of concept". In order to do that. DFill your glass plate with water to the usual level, then pour it into the square one and visually determine how short youre gonna be. Since this will be a souffle anyway, you can maybe just count on the extra space to goosit to rise better.
Shall I sign and seal any plans?
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