Cindy is making a fruit juice drink. The recipe calls for 5 parts apple juice and 3 parts pineapple juice. Cindy 1 cups of apple juice into a pitcher. Cindy wants the juice drink in her pitcher to taste the same as 2 the drink in the recipe. How much pineapple juice does she need to mix into the pitcher? 3 cups 6 cups 1 cup 1 and 1/2 cups 1 and 2/3 cups

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)