3questions ! 16 points !
1) confirm or disapprove emma’s work by using two other points from the slope of the downhill hike.
2) what does the slope tell you about the rate of change in elevation during descent? (identify the rate of change)
3) it took ryan less time to hike down than it did to hike up. ernest thinks that was because ryan jogged down the same trail he went up. emma thinks the trail down was steeper than the trail up. who is correct and why ? include a detailed explanation of why each hypothesis does or does not match the graph.
-ernest hypothesis (jogged down the same trial)
-emma’s hypotheses (stepper trail)

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)