Sandy decides to try golfing. she stands on the outer edge of a circular putting green. in the very centre if this putting green is the hole; it is 8m away from where she is standing. sandy is inexperienced. she hit the ball incorrectly and it veers directly to her left and travels a distance of 20m.
draw this diagram. label sandy, the hole, the ball and the distances involved.
! so much

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)