triple integration to find volumeTriple integral issueFind the volume using triple integralsFindinf volume enclosed using triple integralsVolume of the Region bounded by $y = 2x^2 +2z^2$ and the plane $y=8$Volume of the solid cut by a plane.Evaluate the triple integral where D is the region inside the cylinder $x^2 + y^2 = 1$ which is bounded…?turning cartesian triple integral to sphericalFind volume bounded by 3 equations using integrationVolume of the solid in the first octant bounded by the cylinder $z=9-y^2$Calculate volume enclosed by cylinder and paraboloid (integration).
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triple integration to find volume
Triple integral issueFind the volume using triple integralsFindinf volume enclosed using triple integralsVolume of the Region bounded by $y = 2x^2 +2z^2$ and the plane $y=8$Volume of the solid cut by a plane.Evaluate the triple integral where D is the region inside the cylinder $x^2 + y^2 = 1$ which is bounded…?turning cartesian triple integral to sphericalFind volume bounded by 3 equations using integrationVolume of the solid in the first octant bounded by the cylinder $z=9-y^2$Calculate volume enclosed by cylinder and paraboloid (integration).
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how can I solve this problem I already have the final answer but I don't know how to solve it , the answer for this problem is $(V=8(pi-1/3)$
I tried solving it with this:
$int_-2^2int_-sqrt4-x^2^sqrt4-x^2int_0^x^2+y^2dzdydx$
but it didn't work
Write an iterated triple integral in the order dzdydx for the volume of the region bounded
below by the xy-plane and above by the paraboloid $z = x^2 + y^2$ and lying inside the
cylinder $x^2 + y^2 = 4$?
integration volume bounds-of-integration
asked Mar 21 at 14:34
jon wickjon wick
157
$endgroup$
add a comment |
$begingroup$
how can I solve this problem I already have the final answer but I don't know how to solve it , the answer for this problem is $(V=8(pi-1/3)$
I tried solving it with this:
$int_-2^2int_-sqrt4-x^2^sqrt4-x^2int_0^x^2+y^2dzdydx$
but it didn't work
Write an iterated triple integral in the order dzdydx for the volume of the region bounded
below by the xy-plane and above by the paraboloid $z = x^2 + y^2$ and lying inside the
cylinder $x^2 + y^2 = 4$?
integration volume bounds-of-integration
asked Mar 21 at 14:34
jon wickjon wick
157
$endgroup$
$begingroup$
Kindly use Mathjax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
Mar 21 at 14:37
$begingroup$
Switch to spherical coordinates my friend. And don't forget the determinant of the jacobian.
$endgroup$
– ErotemeObelus
Mar 21 at 15:00
$begingroup$
Tomislav Ostojich can you solve it ?
$endgroup$
– jon wick
Mar 21 at 15:22
add a comment |
$begingroup$
how can I solve this problem I already have the final answer but I don't know how to solve it , the answer for this problem is $(V=8(pi-1/3)$
I tried solving it with this:
$int_-2^2int_-sqrt4-x^2^sqrt4-x^2int_0^x^2+y^2dzdydx$
but it didn't work
Write an iterated triple integral in the order dzdydx for the volume of the region bounded
below by the xy-plane and above by the paraboloid $z = x^2 + y^2$ and lying inside the
cylinder $x^2 + y^2 = 4$?
integration volume bounds-of-integration
asked Mar 21 at 14:34
jon wickjon wick
157
$endgroup$
how can I solve this problem I already have the final answer but I don't know how to solve it , the answer for this problem is $(V=8(pi-1/3)$
I tried solving it with this:
$int_-2^2int_-sqrt4-x^2^sqrt4-x^2int_0^x^2+y^2dzdydx$
but it didn't work
Write an iterated triple integral in the order dzdydx for the volume of the region bounded
below by the xy-plane and above by the paraboloid $z = x^2 + y^2$ and lying inside the
cylinder $x^2 + y^2 = 4$?
integration volume bounds-of-integration
integration volume bounds-of-integration
asked Mar 21 at 14:34
jon wickjon wick
157
asked Mar 21 at 14:34
jon wickjon wick
157
edited Mar 21 at 14:56
jon wick
asked Mar 21 at 14:34
jon wickjon wick
157
asked Mar 21 at 14:34
jon wickjon wick
157
asked Mar 21 at 14:34
jon wickjon wick
157
157
$begingroup$
Kindly use Mathjax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
Mar 21 at 14:37
$begingroup$
Switch to spherical coordinates my friend. And don't forget the determinant of the jacobian.
$endgroup$
– ErotemeObelus
Mar 21 at 15:00
$begingroup$
Tomislav Ostojich can you solve it ?
$endgroup$
– jon wick
Mar 21 at 15:22
add a comment |
$begingroup$
Kindly use Mathjax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
Mar 21 at 14:37
$begingroup$
Switch to spherical coordinates my friend. And don't forget the determinant of the jacobian.
$endgroup$
– ErotemeObelus
Mar 21 at 15:00
$begingroup$
Tomislav Ostojich can you solve it ?
$endgroup$
– jon wick
Mar 21 at 15:22
$begingroup$
Kindly use Mathjax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
Mar 21 at 14:37
$begingroup$
Kindly use Mathjax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
Mar 21 at 14:37
$begingroup$
Switch to spherical coordinates my friend. And don't forget the determinant of the jacobian.
$endgroup$
– ErotemeObelus
Mar 21 at 15:00
$begingroup$
Switch to spherical coordinates my friend. And don't forget the determinant of the jacobian.
$endgroup$
– ErotemeObelus
Mar 21 at 15:00
$begingroup$
Tomislav Ostojich can you solve it ?
$endgroup$
– jon wick
Mar 21 at 15:22
$begingroup$
Tomislav Ostojich can you solve it ?
$endgroup$
– jon wick
Mar 21 at 15:22
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
You should switch to cylindrical coordinates instead. Your integral will change to:
$4 int_0^2 int_0^pi/2 int_0^rho^2 rho dz dphi drho $
answered Mar 21 at 16:50
TojrahTojrah
4016
$endgroup$
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
You should switch to cylindrical coordinates instead. Your integral will change to:
$4 int_0^2 int_0^pi/2 int_0^rho^2 rho dz dphi drho $
answered Mar 21 at 16:50
TojrahTojrah
4016
$endgroup$
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
add a comment |
$begingroup$
You should switch to cylindrical coordinates instead. Your integral will change to:
$4 int_0^2 int_0^pi/2 int_0^rho^2 rho dz dphi drho $
answered Mar 21 at 16:50
TojrahTojrah
4016
$endgroup$
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
add a comment |
$begingroup$
You should switch to cylindrical coordinates instead. Your integral will change to:
$4 int_0^2 int_0^pi/2 int_0^rho^2 rho dz dphi drho $
answered Mar 21 at 16:50
TojrahTojrah
4016
$endgroup$
You should switch to cylindrical coordinates instead. Your integral will change to:
$4 int_0^2 int_0^pi/2 int_0^rho^2 rho dz dphi drho $
answered Mar 21 at 16:50
TojrahTojrah
4016
answered Mar 21 at 16:50
TojrahTojrah
4016
answered Mar 21 at 16:50
TojrahTojrah
4016
answered Mar 21 at 16:50
TojrahTojrah
4016
4016
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
add a comment |
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
But I need it in cartesian coordinates
$endgroup$
– jon wick
Mar 21 at 20:20
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
$begingroup$
I suggest you to change the limits to those for quarter of a circle and then multiply by 4 It will give right answer
$endgroup$
– Tojrah
Mar 22 at 0:35
add a comment |
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$begingroup$
Kindly use Mathjax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
Mar 21 at 14:37
$begingroup$
Switch to spherical coordinates my friend. And don't forget the determinant of the jacobian.
$endgroup$
– ErotemeObelus
Mar 21 at 15:00
$begingroup$
Tomislav Ostojich can you solve it ?
$endgroup$
– jon wick
Mar 21 at 15:22