Jen, a biologist, is growing bacterial cultures at different temperatures as part of her research. The number of cells in the culture growing at 25 °C is given by the polynomial t^2 + 4t + 4, where t is the time elapsed in minutes. The number of cells in the second culture growing at 35°C is modeled by the polynomial t^2 + 4. She needs to measure the sSuccess of the 25 °C culture over the 35 °C culture. Find the polynomial representing how many more cells are in the 25 °C culture for time t. How many more cells are there after 15 minutes?

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)