9 . What sort of geometric gure is represented by I \\(81 x2 dx ? Can you nd the area of 79 the gure? If yes, what is the area? 2 . Does the integral I7: (22 (2 y)2 )dy represent the volume of a hemisphere or a cone? If 0 it is a hemisphere, give the radius of the hemisphere. If this is a cone, give the radius and height of the cone. . Find, by slicing, the volume of a cone whose height is 3 cm and whose base radius is 1 cm. . Find the volume of a sphere of radius r by slicing. . Find the volume of the region rotated around the xaxis: bounded by y = ex, y = 0, x = -1, x = l . Find the arc length of the graph of the function from x = 0 to x = 2: f(x) = x . Find the length of the parametric curve: x = cos(et), y = sin(et) for 0 S t S l. . Consider the region bounded by y = ex, the xaxis and the lines x = 0 and x = 1. Find the volume of the solid obtained by rotating the region about the horizontal line y = 7. . A slice of pizza is one eighth of a circle of radius 1 foot. The slice is in the rst quadrant, with one edge along the xaxis, and the center of the pizza at the origin. Give inequalities describing this region using polar coordinates