I want to calculate volume of region between the cylinders x^2+y^2=36 and x^2+z^2=36. How can I code it in mathematica? and there is also another question form like this one. 
I wanna calculate this also. Thanks.
I want to calculate volume of region between the cylinders x^2+y^2=36 and x^2+z^2=36. How can I code it in mathematica? and there is also another question form like this one. 
I wanna calculate this also. Thanks.
Try
reg = ImplicitRegion[{x^2 + y^2 <= 49, z >= 0, x + z <= 4}, {x, y, z}]
Volume[reg]
(*2 (19 Sqrt[33] + 49 \[Pi] + 98 ArcSin[4/7])*)
Hope it helps!
Volume@{ImplicitRegion[{x^2 + y^2 <= 49, z >= 0, x + z <= 4}, {x, y, z}], ImplicitRegion[{x^2 + y^2 <= 49, z <= 0, x + z >= 4}, {x, y, z}]}– cvgmt Jun 12 '23 at 00:25ImplicitRegion[{x^2 + y^2 <= 36, x^2 + z^2 <= 36}, {x, y, z}] // Volume– cvgmt Jun 12 '23 at 00:26