Question 1:

As viewed from above, a swimming pool has the shape of the ellipse y 2 + 2500 400 =1, where a and y are measured in feet. The cross sections perpendicular to the @-axis are squares. Find the total volume of the pool. V = cubic feetFind the volume of the solid formed by rotating the region enclosed by y= e" +1, y=0, x =0, *=0.5 about the y-axis. Answer:Find the volume of the solid obtained when the region under the curvey = av4 -@ from @ =0 to @ = 2 is rotated about the y-axis. Volume =