1. Consider the region bounded by y = \\/ 25 x2 and the x-axis. (a) Find the volume of the solid obtained by rotating this region about the xaxis. (b) What threedimensional shape do you obtain? Check your answer to part (a) by looking up the formula for the volume of such a shape. 2. Consider the region bounded by 537 + 2y 2 10, the x-axis, and the y-axis. (a) Find the volume of the solid obtained by rotating this region about the yaxis. (b) What threedimensional shape do you obtain? Check your answer to part (a) by looking up the formula for the volume of such a shape