7-102. PENNANT RACE Your basketball team has made it to the semi-finals and now needs to win only two
more games to go to the finals. The team's travel plan is to leave Philadelphia and
travel 138 miles to the town of Euclid to play the team there. Then the team will
leave Euclid, travel to Pythagoras, and play that team. Finally, the team will travel
97 miles to return home.
Your team bus can travel only 300 miles on one tank of gas. Assuming that all of
the roads connecting the three towns are straight and that the two roads that
connect in Philadelphia form a 28° angle, will one tank of gas be enough for
the trip? Justify your solution.

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)