Graphically, a point is a solution to a system of two inequalities if and only if a. the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequalityb. the point lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequalityc. the point lies in the shaded regions of both the top and bottom inequalitiesd. the point does not lie in the shaded regions of the top or bottom in

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)