The graph represents the number of bike paths planned for the cities of Nashville and Houston. The number of paths to be built in Houston is modeled by y = 4(2)x, and the number planned for Nashville is modeled by y = 4x. According to the graph, which statement is true about this situation? A) The number of paths planned for Nashville is increasing exponentially. B) The number of paths planned for Houston is represented by the green line. C) The number of paths planned for Nashville is represented by the green line. D) The number of paths planned for Nashville will more than likely exceed the paths in Houston as the value of x increases.

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)