Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. her classical music does not change. which function shows the total hours of music she will have in her collection after x months? (5 points) f(x) = 2(0.05)x + 3 f(x) = 3(0.05)x + 2 f(x) = 2(1.05)x + 3 f(x) = 3(1.05)x + 2

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)