A cancerous cell lacks normal biological growth regulation and can divide continuously.
Suppose a single mouse skin cell is cancerous and its mitotic cell cycle (the time for the cell to divide once) is 20 hours. The number of cells at time t grows according to an exponential model.
(a) Find a formula C(t) for the number of cancerous skin cells after t hours.
(D) Assume a typical mouse skin cell is spherical of radius 50 × 10^-4 cm. Find the combined volume of all cancerous skin cells after t hours. When will the volume of cancerous cells be 1 cm^3?