Given the cylinder $(x-1)^2+y^2 leq1$ and a sphere centred at $(0,0,0)$ with radius $2$, find the volume of...
0
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I attempted this using cylindrical co-ordinates but I am not sure if my attempt is correct. This is what I have:
equation of sphere : $x^2+y^2+z^2=4,$ cylindrical coordinates this is $z^2=4-r^2$ leading to:
$$0.25V= int_0^{pi/2} int_0^1 rsqrt{4-r^2} ,drdvartheta$$
calculus volume
edited Dec 8 '18 at 19:54
Shaun
8,939113681
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
$endgroup$
add a comment |
0
$begingroup$
I attempted this using cylindrical co-ordinates but I am not sure if my attempt is correct. This is what I have:
equation of sphere : $x^2+y^2+z^2=4,$ cylindrical coordinates this is $z^2=4-r^2$ leading to:
$$0.25V= int_0^{pi/2} int_0^1 rsqrt{4-r^2} ,drdvartheta$$
calculus volume
edited Dec 8 '18 at 19:54
Shaun
8,939113681
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
$endgroup$
$begingroup$
Use$pi$for $pi$ and use$sqrt{wxyz}$for $sqrt{wxyz}$.
$endgroup$
– Shaun
Dec 8 '18 at 19:41
$begingroup$
This is called MathJax, a type of $LaTeX$. It works in the title section too.
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
Please edit the question accordingly :)
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
It might help to include what steps you took to get your answer, since what's important when studying Mathematics is not so much the answers to questions, but the reasons why they are the answers. Again, please edit the question.
$endgroup$
– Shaun
Dec 8 '18 at 19:44
add a comment |
0
0
0
0
$begingroup$
I attempted this using cylindrical co-ordinates but I am not sure if my attempt is correct. This is what I have:
equation of sphere : $x^2+y^2+z^2=4,$ cylindrical coordinates this is $z^2=4-r^2$ leading to:
$$0.25V= int_0^{pi/2} int_0^1 rsqrt{4-r^2} ,drdvartheta$$
calculus volume
edited Dec 8 '18 at 19:54
Shaun
8,939113681
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
$endgroup$
I attempted this using cylindrical co-ordinates but I am not sure if my attempt is correct. This is what I have:
equation of sphere : $x^2+y^2+z^2=4,$ cylindrical coordinates this is $z^2=4-r^2$ leading to:
$$0.25V= int_0^{pi/2} int_0^1 rsqrt{4-r^2} ,drdvartheta$$
calculus volume
calculus volume
edited Dec 8 '18 at 19:54
Shaun
8,939113681
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
edited Dec 8 '18 at 19:54
Shaun
8,939113681
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
edited Dec 8 '18 at 19:54
Shaun
8,939113681
edited Dec 8 '18 at 19:54
Shaun
8,939113681
edited Dec 8 '18 at 19:54
Shaun
8,939113681
8,939113681
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
asked Dec 8 '18 at 19:38
recursive functionrecursive function
41
41
$begingroup$
Use$pi$for $pi$ and use$sqrt{wxyz}$for $sqrt{wxyz}$.
$endgroup$
– Shaun
Dec 8 '18 at 19:41
$begingroup$
This is called MathJax, a type of $LaTeX$. It works in the title section too.
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
Please edit the question accordingly :)
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
It might help to include what steps you took to get your answer, since what's important when studying Mathematics is not so much the answers to questions, but the reasons why they are the answers. Again, please edit the question.
$endgroup$
– Shaun
Dec 8 '18 at 19:44
add a comment |
$begingroup$
Use$pi$for $pi$ and use$sqrt{wxyz}$for $sqrt{wxyz}$.
$endgroup$
– Shaun
Dec 8 '18 at 19:41
$begingroup$
This is called MathJax, a type of $LaTeX$. It works in the title section too.
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
Please edit the question accordingly :)
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
It might help to include what steps you took to get your answer, since what's important when studying Mathematics is not so much the answers to questions, but the reasons why they are the answers. Again, please edit the question.
$endgroup$
– Shaun
Dec 8 '18 at 19:44
$begingroup$
Use
$pi$ for $pi$ and use $sqrt{wxyz}$ for $sqrt{wxyz}$.$endgroup$
– Shaun
Dec 8 '18 at 19:41
$begingroup$
Use
$pi$ for $pi$ and use $sqrt{wxyz}$ for $sqrt{wxyz}$.$endgroup$
– Shaun
Dec 8 '18 at 19:41
$begingroup$
This is called MathJax, a type of $LaTeX$. It works in the title section too.
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
This is called MathJax, a type of $LaTeX$. It works in the title section too.
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
Please edit the question accordingly :)
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
Please edit the question accordingly :)
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
It might help to include what steps you took to get your answer, since what's important when studying Mathematics is not so much the answers to questions, but the reasons why they are the answers. Again, please edit the question.
$endgroup$
– Shaun
Dec 8 '18 at 19:44
$begingroup$
It might help to include what steps you took to get your answer, since what's important when studying Mathematics is not so much the answers to questions, but the reasons why they are the answers. Again, please edit the question.
$endgroup$
– Shaun
Dec 8 '18 at 19:44
add a comment |
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$begingroup$
Use
$pi$for $pi$ and use$sqrt{wxyz}$for $sqrt{wxyz}$.$endgroup$
– Shaun
Dec 8 '18 at 19:41
$begingroup$
This is called MathJax, a type of $LaTeX$. It works in the title section too.
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
Please edit the question accordingly :)
$endgroup$
– Shaun
Dec 8 '18 at 19:42
$begingroup$
It might help to include what steps you took to get your answer, since what's important when studying Mathematics is not so much the answers to questions, but the reasons why they are the answers. Again, please edit the question.
$endgroup$
– Shaun
Dec 8 '18 at 19:44