Question 1:

Find the volume of the solid obtained when the region under the curve y = v4 - from = 0 to = 2 is rotated about the y-axis. Volume =Find the volume of the solid formed by rotating the region enclosed by y=e"+1, y= 0, *=0, = 0.5 about the y-axis. AnswerAs viewed from above, a swimming pool has the shape of the ellipse 47 2 + = 1, 2500 400 where @ and y are measured in feet. The cross sections perpendicular to the -axis are squares. Find the total volume of the pool. V = cubic feet