What is the overlap of Data Set 1 and Data Set 2?

high

moderate

low

none
Two line plots with the same scale and interval, from three to eleven, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has eight data values. Values appear as x marks above the line. Upper plot data values are two x marks above five, two x marks above six, two x marks above seven, one x mark above eight, and one x mark above nine. Lower plot data values are one x mark above six, two x marks above seven, two x marks above eight, two x marks above nine, and one x mark above ten.

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)