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The metric for a three-sphere is ds2 = R2 (d$2 + sin? (d02 + sin? Odd2) ) where o ranges from 0 to 27, and

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The metric for a three-sphere is ds2 = R2 (d$2 + sin? (d02 + sin? Odd2) ) where o ranges from 0 to 27, and , 0 range from 0 to T. a) Find the volume of the sphere b) find the first correction to the volume of a small sphere of radius r, when the space is the three-sphere of radius R instead of flat 3D Euclidean space

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