All living organisms maintain a constant level of radioactive Carbon-14. Once the organism dies, the Carbon-14 decays according to the function below, where t is the number of years since death and A0 is the amount of Carbon-14 present at death. A(t)=A0 x e^-0.000124t The model is considered accurate up to 100,000 years. Dre has a sample of bone from an ox that he thinks is 46,000 years old, but he wants to find its actual age to be sure. He knows the ox should have had 300 milligrams of Carbon-14 at the time of death. What is the domain of the function A(t)?

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)