The plane region defined by 0 ≤ y ≤ , 0 ≤ x ≤ a is revolved about the x-axis to generate a 3-dimensional region that is filled with material of constant density. Where is the centre of mass of this material?

Question

The plane region defined by 0 ≤ y ≤  , 0 ≤ x ≤ a is revolved about the x-axis to generate a 3-dimensional region that is filled with material of constant density. Where is the centre of mass of this material?

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The Answer of The plane region defined by 0 ≤ y ≤  , 0 ≤ x ≤ a is revolved about the x-axis to generate a 3-dimensional region that is filled with material of constant density. Where is the centre of mass of this material?

The Plane Region Defined by 0 ≤ Y ≤