The Cancer Research Center just came out with a new cure for a rare cancer, but needs your company's help in designing a capsule (pill) for the medicine. Your pharmaceutical company has been asked to produce the capsule (outer covering of the pill). In order to keep the cost down, you must utilize the molds your company already has on hand. The researchers will need a variety of shapes and sizes of a capsule to hold the correct dosage for their medicine, because dosages will vary by the age and weight of each patient. Your company has the capability of creating a sphere, cone and cylinder shaped sections, or any combination of these to make the outer covering of the capsule/pill. You will need to present the research center with the shape, size and volume of the capsule that your company has to offer. Your company needs to submit sketches of the shape and the amount of cubic millimeters of medicine each pill will hold and proof of how much each capsule will hold. You will need to organize your results and present them to the Research Center within two days. BEWARE! The wrong calculations could be a deadly mistake for its patients--their lives are in your hands!!