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

Three spheres of radius 'r ' are kept inside a cylinder such that two of the spheres 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. Then the volume of the cylinder is :

Text Solution

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`C_1C_3=2r`
`C_2C_3=2r`
`C_1C_2=2r`
DC=DE+EF+FC
=`r+2+r=4r`
`C_1G=2rsqrt3/2=sqrt3r`
`BC=sqrt3r+2r=r(2+sqrt3)`
Volume=`piR^2H`
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