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One 10" Tube Cake Pan = How Many 4" Mini Tube Pans?
I would like to bake a bunch of different types of cakes, using 4" inch, 1cup
capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Thanks, Michael 


Michael wrote:
I would bake to bake a bunch of different types of cakes, using 4" inch, 1cup capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Easy way to find out: Fill a 10" tube pan with water, then ladle/pour out the water into a measuring pitcher. The number of cups which fit in the pan is the same as the number of 1cup pans you'll need. You can also figure it out using calculus: You want the volume of the solid of rotation created by rotating a displaced parabola around the Y axis. The outer edge of the parabola is 5" from the origin, the height of the parabola is around four or five inches, and the inner edge is about an inch and a half to two inches. The solution is left as an exercise for the student. [I used to teach calculus.] Bob 


Michael wrote:
I would bake to bake a bunch of different types of cakes, using 4" inch, 1cup capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Easy way to find out: Fill a 10" tube pan with water, then ladle/pour out the water into a measuring pitcher. The number of cups which fit in the pan is the same as the number of 1cup pans you'll need. You can also figure it out using calculus: You want the volume of the solid of rotation created by rotating a displaced parabola around the Y axis. The outer edge of the parabola is 5" from the origin, the height of the parabola is around four or five inches, and the inner edge is about an inch and a half to two inches. The solution is left as an exercise for the student. [I used to teach calculus.] Bob 


"Boob"virtualgoth writes:
Michael wrote: I would bake to bake a bunch of different types of cakes, using 4" inch, 1cup capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Easy way to find out: Fill a 10" tube pan with water, then ladle/pour out the water into a measuring pitcher. The number of cups which fit in the pan is the same as the number of 1cup pans you'll need. You've obviously never baked a cake... cake batter does not get filled to the top of the pan nor do all cake batters fill alike so it cannot be assumed that any one cake batter fill formula works for all... like I said, you're no baker. That said even if a recipe indicates at what level to fill a ten inch tube pan it cannot be assumed that miniature pans are to be filled to the same level (or proportionately by volume). Cake batter does not expand linearly by volume. Essentially one needs to interpolate based on past experience (if any) and experiment. = BOYCOTT FRANCE (belgium) GERMANYSPAIN = = Move UNITED NATIONS To Paris = ********* "Life would be devoid of all meaning were it without tribulation." Sheldon ```````````` 


"Boob"virtualgoth writes:
Michael wrote: I would bake to bake a bunch of different types of cakes, using 4" inch, 1cup capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Easy way to find out: Fill a 10" tube pan with water, then ladle/pour out the water into a measuring pitcher. The number of cups which fit in the pan is the same as the number of 1cup pans you'll need. You've obviously never baked a cake... cake batter does not get filled to the top of the pan nor do all cake batters fill alike so it cannot be assumed that any one cake batter fill formula works for all... like I said, you're no baker. That said even if a recipe indicates at what level to fill a ten inch tube pan it cannot be assumed that miniature pans are to be filled to the same level (or proportionately by volume). Cake batter does not expand linearly by volume. Essentially one needs to interpolate based on past experience (if any) and experiment. = BOYCOTT FRANCE (belgium) GERMANYSPAIN = = Move UNITED NATIONS To Paris = ********* "Life would be devoid of all meaning were it without tribulation." Sheldon ```````````` 


Michael wrote:
I would bake to bake a bunch of different types of cakes, using 4" inch, 1cup capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Easy way to find out: Fill a 10" tube pan with water, then ladle/pour out the water into a measuring pitcher. The number of cups which fit in the pan is the same as the number of 1cup pans you'll need. You can also figure it out using calculus: You want the volume of the solid of rotation created by rotating a displaced parabola around the Y axis. The outer edge of the parabola is 5" from the origin, the height of the parabola is around four or five inches, and the inner edge is about an inch and a half to two inches. The solution is left as an exercise for the student. [I used to teach calculus.] Bob I thought about telling him to use geometry to calculate the volumes of the pans. Geometry was one of my best subjects. I hated calculus however. I took precalculus and regular calculus and after that I never used calculus again. That was 20 years ago. The only thing I remember about it is derivatives. 


Michael wrote:
I would bake to bake a bunch of different types of cakes, using 4" inch, 1cup capacity tube cake pans. For recipes that request one 10" tube cake pan, how many of those mini tube cake pans do I need? Easy way to find out: Fill a 10" tube pan with water, then ladle/pour out the water into a measuring pitcher. The number of cups which fit in the pan is the same as the number of 1cup pans you'll need. You can also figure it out using calculus: You want the volume of the solid of rotation created by rotating a displaced parabola around the Y axis. The outer edge of the parabola is 5" from the origin, the height of the parabola is around four or five inches, and the inner edge is about an inch and a half to two inches. The solution is left as an exercise for the student. [I used to teach calculus.] Bob I thought about telling him to use geometry to calculate the volumes of the pans. Geometry was one of my best subjects. I hated calculus however. I took precalculus and regular calculus and after that I never used calculus again. That was 20 years ago. The only thing I remember about it is derivatives. 


PENMARTHA wrote:
You've obviously never baked a cake... cake batter does not get filled to the top of the pan nor do all cake batters fill alike so it cannot be assumed that any one cake batter fill formula works for all... like I said, you're no baker. That said even if a recipe indicates at what level to fill a ten inch tube pan it cannot be assumed that miniature pans are to be filled to the same level (or proportionately by volume). Cake batter does not expand linearly by volume. Essentially one needs to interpolate based on past experience (if any) and experiment. Portnoy, you have no clue as to what I've done or not done. The poster wanted to know equivalence. I told him how to determine equivalence. You didn't even make an attempt to do that, so just shut the **** up. By the way, schmendrick, cake batter *does* expand in roughly linear proportion to its original volume, although it might get a slight kick if it's got doubleacting baking powder. If you REALLY had the expertise you claim, you should have known that. Bob 


PENMARTHA wrote:
You've obviously never baked a cake... cake batter does not get filled to the top of the pan nor do all cake batters fill alike so it cannot be assumed that any one cake batter fill formula works for all... like I said, you're no baker. That said even if a recipe indicates at what level to fill a ten inch tube pan it cannot be assumed that miniature pans are to be filled to the same level (or proportionately by volume). Cake batter does not expand linearly by volume. Essentially one needs to interpolate based on past experience (if any) and experiment. Portnoy, you have no clue as to what I've done or not done. The poster wanted to know equivalence. I told him how to determine equivalence. You didn't even make an attempt to do that, so just shut the **** up. By the way, schmendrick, cake batter *does* expand in roughly linear proportion to its original volume, although it might get a slight kick if it's got doubleacting baking powder. If you REALLY had the expertise you claim, you should have known that. Bob 
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