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An Object Is in the Shape Drawn Below; Its Boundary y=2x2y=2 x^{2}

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An object is in the shape drawn below; its boundary is obtained by rotating the parabola y=2x2y=2 x^{2} (for 0 \le x \le 1)around the y axis.(Units are in centimeters.)Suppose that the density of this object varies with height according to the rule ρ\rho (y)= 8 (2 - y)grams/cm3.Compute the mass in grams of this object.Give an exact answer and then round it to 2 decimal places.  An object is in the shape drawn below; its boundary is obtained by rotating the parabola  y=2 x^{2}  (for 0 \le x  \le  1)around the y axis.(Units are in centimeters.)Suppose that the density of this object varies with height according to the rule  \rho (y)= 8 (2 - y)grams/cm<sup>3</sup>.Compute the mass in grams of this object.Give an exact answer and then round it to 2 decimal places.

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