# SOLUTION: Hi! So i got a cylinder and in that cylinder there are 2 identical spheres they are touching themselves and the top and the bottom of the cylinder. The space that is left in t

Algebra ->  Algebra  -> Bodies-in-space -> SOLUTION: Hi! So i got a cylinder and in that cylinder there are 2 identical spheres they are touching themselves and the top and the bottom of the cylinder. The space that is left in t      Log On

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 Geometry: Bodies in space, right solid, cylinder, sphere Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Bodies-in-space Question 551730: Hi! So i got a cylinder and in that cylinder there are 2 identical spheres they are touching themselves and the top and the bottom of the cylinder. The space that is left in the cylinder is 36pi. I need the r of the spheres Answer by Edwin McCravy(8883)   (Show Source): You can put this solution on YOUR website!```Here is a central cross-section. Each green and red line segment has length r, the radius of each sphere and the cylinder: The radius of each sphere and of the cylinder is r The height of the cylinder is 4r Volume of the cylinder = pr²h = p(r)²(4r) = 4pr³ Volume of each sphere = pr³ Volume of cylinder - 2·volume of sphere = 36p 4pr³ - 2·pr³ = 36p 4pr³ - pr³ = 36p Multiply through by 3 12pr³ - 8pr³ = 108p Divide through by p 12r³ - 8r³ = 108 4r³ = 108 r³ = 27 r = 3 Edwin```