An artist is hired to create an art display for the interior of a city building. The display is to span a total width of 14 yd. The artist decides to cover this space with equally sized portraits placed side-by-side in a horizontal line with no gaps. Each portrait has a width of 42 in. How many portraits will be used in the display? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.

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)