Select the correct answer. Alejandra is packing a bag for a flight. The airline has a baggage weight limit, and Alejandra has already packed her bag with some essentials. All she has left is her outfits and shoes, which must weigh less than 30 pounds total. If Alejandra estimates that one outfit weighs two pounds and one pair of shoes weighs three pounds, which graph represents the number of outfits and shoes that Alejandra can pack while staying under the weight limit? A. B. C. D. Reset Next

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)