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A tumor is a collection of cancerous cells. Suppose each cancerous cell has a radius of 5 times 10^{-3} cm, and that the doubling time for a population of cancerous cells is 20 hours. If the tumor has an initial volume of 0.3 cm^3, how many cancerous cells does it contain? (For simplicity, assume that the tumor is entirely made of cells, that there is no space between them.) Find a formula for V(t), the total volume of the cancerous cells, after t hours. V(t)= How many hours will it take before the volume of the tumor reaches 1 cm^3?
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