Which direction will the box move in the diagram below?
(its a square in the middle and it has a long arrow pointing to it on the left side which is 5 n and then on the right side theirs a short arrow pointing to it which is 3 n)
a. it will move to the left. b. it will move to the right. c. it will not move. d. it will move up. not sure?

Combine the information in the problem and the chart using the average balance method to solve the problem.

Which polygon is she in the process of constructing ?

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)