headyott The following table represents the sample space of rolling two number cubes. 123456 +1-11-21-31-41-51-6 22-12-2 2-3 2-4 2-5 2-6 33-13-23-33-43-53-6 4 4-1 4-2 4-3 4-4 4-5 4-6 55-15-25-35-45-55-6 6 6-1 6-2 6-3 6-4 6-5 6-6 How many favorable outcomes are there for the event "rolling exactly one even number?

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)