The projected population of a certain ethnic group(in millions) can be approximated by p(t)equals 39.87 left parenthesis 1.016 right parenthesis superscript t where tequals 0 corresponds to 2000 and 0 less than or equals t less than or equals 50 . a. estimate the population of this group for the year 2010. b. what is the instantaneous rate of change of the population when tequals 10

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)