Volume of a hollow cone using triple integral?Maximization: Volume of paraboloid within cone?How to calculate the height of a cone at particular volume?How should this volume be calculated? It's the volume within a cylinder minus two cones and another cylinder.Integral calculus, find actual volume of conesetup a triple integral for an inverted coneVolume of a cone inside an upside-down pyramidHow to derive the formula of volume of a cone using a cut out?On volume change when paper is folded to give hollow cylinderVolume of a cone that is hollow in the middleUsing Area of Segment - Derive General Formula for the Volume of a Tilted Cylinder Partially Filled with Water
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Volume of a hollow cone using triple integral?
Maximization: Volume of paraboloid within cone?How to calculate the height of a cone at particular volume?How should this volume be calculated? It's the volume within a cylinder minus two cones and another cylinder.Integral calculus, find actual volume of conesetup a triple integral for an inverted coneVolume of a cone inside an upside-down pyramidHow to derive the formula of volume of a cone using a cut out?On volume change when paper is folded to give hollow cylinderVolume of a cone that is hollow in the middleUsing Area of Segment - Derive General Formula for the Volume of a Tilted Cylinder Partially Filled with Water
$begingroup$
I want to directly find out the volume of a hollow cylinder instead of subtracting the smaller volume from the bigger volume...Considering both the outer cone and inner cone to have the same cone angle and the same longitudinal axis , Help me with this problem!!
calculus volume
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
$endgroup$
add a comment |
$begingroup$
I want to directly find out the volume of a hollow cylinder instead of subtracting the smaller volume from the bigger volume...Considering both the outer cone and inner cone to have the same cone angle and the same longitudinal axis , Help me with this problem!!
calculus volume
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
$endgroup$
$begingroup$
Are you talking about a cone or a cylinder? And do you have any reason to believe that there is a nice and elegant way to do it which is not just subtracting one volume from the other?
$endgroup$
– Arthur
Mar 22 at 10:13
$begingroup$
Arthur, I know there is no method more simpler than just subtracting the volumes..I am talking about cones.. i was wondering if its possible to triple integrate volume of a hollow cone? is it not possible ?
$endgroup$
– Nelson Raj
Mar 22 at 10:17
$begingroup$
Yes, it is possible to integrate, however, the way I would do it the area integral of the outer minus the inner coordinate (i.e., the area integral of the cone width), which is equivalent to subtracting the volumes if you re-organize the terms.
$endgroup$
– Ertxiem
Mar 22 at 10:23
$begingroup$
Ertxiem Hey! Can you write it down for me.. Because both areas have different heights so I am unable to write an accurate equation of what you just said! Much appreciated!
$endgroup$
– Nelson Raj
Mar 22 at 10:40
add a comment |
$begingroup$
I want to directly find out the volume of a hollow cylinder instead of subtracting the smaller volume from the bigger volume...Considering both the outer cone and inner cone to have the same cone angle and the same longitudinal axis , Help me with this problem!!
calculus volume
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
$endgroup$
I want to directly find out the volume of a hollow cylinder instead of subtracting the smaller volume from the bigger volume...Considering both the outer cone and inner cone to have the same cone angle and the same longitudinal axis , Help me with this problem!!
calculus volume
calculus volume
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
edited Mar 22 at 10:14
Nelson Raj
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
asked Mar 22 at 10:12
Nelson RajNelson Raj
12
12
$begingroup$
Are you talking about a cone or a cylinder? And do you have any reason to believe that there is a nice and elegant way to do it which is not just subtracting one volume from the other?
$endgroup$
– Arthur
Mar 22 at 10:13
$begingroup$
Arthur, I know there is no method more simpler than just subtracting the volumes..I am talking about cones.. i was wondering if its possible to triple integrate volume of a hollow cone? is it not possible ?
$endgroup$
– Nelson Raj
Mar 22 at 10:17
$begingroup$
Yes, it is possible to integrate, however, the way I would do it the area integral of the outer minus the inner coordinate (i.e., the area integral of the cone width), which is equivalent to subtracting the volumes if you re-organize the terms.
$endgroup$
– Ertxiem
Mar 22 at 10:23
$begingroup$
Ertxiem Hey! Can you write it down for me.. Because both areas have different heights so I am unable to write an accurate equation of what you just said! Much appreciated!
$endgroup$
– Nelson Raj
Mar 22 at 10:40
add a comment |
$begingroup$
Are you talking about a cone or a cylinder? And do you have any reason to believe that there is a nice and elegant way to do it which is not just subtracting one volume from the other?
$endgroup$
– Arthur
Mar 22 at 10:13
$begingroup$
Arthur, I know there is no method more simpler than just subtracting the volumes..I am talking about cones.. i was wondering if its possible to triple integrate volume of a hollow cone? is it not possible ?
$endgroup$
– Nelson Raj
Mar 22 at 10:17
$begingroup$
Yes, it is possible to integrate, however, the way I would do it the area integral of the outer minus the inner coordinate (i.e., the area integral of the cone width), which is equivalent to subtracting the volumes if you re-organize the terms.
$endgroup$
– Ertxiem
Mar 22 at 10:23
$begingroup$
Ertxiem Hey! Can you write it down for me.. Because both areas have different heights so I am unable to write an accurate equation of what you just said! Much appreciated!
$endgroup$
– Nelson Raj
Mar 22 at 10:40
$begingroup$
Are you talking about a cone or a cylinder? And do you have any reason to believe that there is a nice and elegant way to do it which is not just subtracting one volume from the other?
$endgroup$
– Arthur
Mar 22 at 10:13
$begingroup$
Are you talking about a cone or a cylinder? And do you have any reason to believe that there is a nice and elegant way to do it which is not just subtracting one volume from the other?
$endgroup$
– Arthur
Mar 22 at 10:13
$begingroup$
Arthur, I know there is no method more simpler than just subtracting the volumes..I am talking about cones.. i was wondering if its possible to triple integrate volume of a hollow cone? is it not possible ?
$endgroup$
– Nelson Raj
Mar 22 at 10:17
$begingroup$
Arthur, I know there is no method more simpler than just subtracting the volumes..I am talking about cones.. i was wondering if its possible to triple integrate volume of a hollow cone? is it not possible ?
$endgroup$
– Nelson Raj
Mar 22 at 10:17
$begingroup$
Yes, it is possible to integrate, however, the way I would do it the area integral of the outer minus the inner coordinate (i.e., the area integral of the cone width), which is equivalent to subtracting the volumes if you re-organize the terms.
$endgroup$
– Ertxiem
Mar 22 at 10:23
$begingroup$
Yes, it is possible to integrate, however, the way I would do it the area integral of the outer minus the inner coordinate (i.e., the area integral of the cone width), which is equivalent to subtracting the volumes if you re-organize the terms.
$endgroup$
– Ertxiem
Mar 22 at 10:23
$begingroup$
Ertxiem Hey! Can you write it down for me.. Because both areas have different heights so I am unable to write an accurate equation of what you just said! Much appreciated!
$endgroup$
– Nelson Raj
Mar 22 at 10:40
$begingroup$
Ertxiem Hey! Can you write it down for me.. Because both areas have different heights so I am unable to write an accurate equation of what you just said! Much appreciated!
$endgroup$
– Nelson Raj
Mar 22 at 10:40
add a comment |
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$begingroup$
Are you talking about a cone or a cylinder? And do you have any reason to believe that there is a nice and elegant way to do it which is not just subtracting one volume from the other?
$endgroup$
– Arthur
Mar 22 at 10:13
$begingroup$
Arthur, I know there is no method more simpler than just subtracting the volumes..I am talking about cones.. i was wondering if its possible to triple integrate volume of a hollow cone? is it not possible ?
$endgroup$
– Nelson Raj
Mar 22 at 10:17
$begingroup$
Yes, it is possible to integrate, however, the way I would do it the area integral of the outer minus the inner coordinate (i.e., the area integral of the cone width), which is equivalent to subtracting the volumes if you re-organize the terms.
$endgroup$
– Ertxiem
Mar 22 at 10:23
$begingroup$
Ertxiem Hey! Can you write it down for me.. Because both areas have different heights so I am unable to write an accurate equation of what you just said! Much appreciated!
$endgroup$
– Nelson Raj
Mar 22 at 10:40