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Three spheres of radius 'r' are kept ins...

Three spheres of radius 'r' are kept inside a cuylinder such that two of the speres are at bottom touching each other and sides of the cylinder while the third sphere is touching the two bottom spheres and the top of the cylinder .Find the volume of the cylinder .

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To find the volume of the cylinder that contains three spheres of radius 'r', we will follow these steps: ### Step 1: Understand the arrangement of the spheres We have two spheres at the bottom that touch each other and the sides of the cylinder. The third sphere is placed on top of these two spheres, touching both of them and the top of the cylinder. ### Step 2: Determine the radius of the cylinder The radius of the cylinder is determined by the arrangement of the two bottom spheres. Since the spheres are touching each other and also touching the sides of the cylinder, the diameter of the cylinder is equal to the combined diameters of the two spheres. ...
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