Match the following. Given D = {x | x is a whole number} E = {x | x is a perfect square < 100} F = {x | x is an even number between 10 and 20} 1. D ∩ E {1, 4, 9, 16, 25, 36, 49, 64, 81} 2. D ∩ F {1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18} 3. D ∩ (E ∩ F) {all whole numbers} 4. D ∪ (E ∩ F) {12, 14, 16, 18} 5. D ∩ (E ∪ F) {16}

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)