- #1

- 39

- 0

## Main Question or Discussion Point

x^2+y^2+z^2=4

(x+2)^2+(y-1)^2+(z+2)^2=4

find volume inside both.

thanks,

(x+2)^2+(y-1)^2+(z+2)^2=4

find volume inside both.

thanks,

- Thread starter real10
- Start date

- #1

- 39

- 0

x^2+y^2+z^2=4

(x+2)^2+(y-1)^2+(z+2)^2=4

find volume inside both.

thanks,

(x+2)^2+(y-1)^2+(z+2)^2=4

find volume inside both.

thanks,

- #2

- 50

- 0

Just draw and integrate.You will get

[tex]\frac{11 \pi}{12}[/tex]

[tex]\frac{11 \pi}{12}[/tex]

- #3

- 39

- 0

any details like what are the bounds for the integral u set up and which one..

thanks again,

- #4

- 665

- 0

[tex]z_1=\sqrt{2-x^2-y^2}[/tex]

[tex]z_2=\sqrt{4-(x+2)^2-(y-1)^2}-2[/tex]

[tex]V=\iint\limits_{D}\left(z_1-z_2\right)dA[/tex]

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