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(Solved): Find the volume of the solid bounded by the sphere x2+y2+z2=2x(x1) and the cone x=y2+z2. (Eva ...

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Find the volume of the solid bounded by the sphere

x^{2} + y^{2} + z^{2} = 2 x (x \geq 1)

and the cone

x = y^{2} + z^{2}

. (Evaluate by using cylindrical coordinates)

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Given sphere    and cone   .

The equation of sphere can be written as,


The above equation is the equation of a sphere with a center    with a radius   .
The equation of the cone is given as,



Then, the equation of sphere is,




  .
The    varies in the limit,

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