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/cm³.Compute the mass in grams of this object.Give an exact answer and then round it to 2 decimal places.

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The Answer of 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/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 y=2x2y=2 x^{2}y=2x2

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