4.a class measured the radius and circumference of various circular objects. the results are plotted on the graph. a.does there appear to be a proportional relationship between the radius and circumference of a circle? explain or show your reasoning. b.why might the measured radii and circumferences not be exactly proportional?

Determine the relationship of ab and cd given the following points

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)

Carlos by 24 mi and ran 6 miles what is the ratio of the distance carlos ran to the distance he biked