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The rate at which a spherical pill(table) dissolves in the body after being consumed is described by the rate of change of its volume with time dv/dt.

given that the rate of change of volume is directly proportional to its surface area, compute the time in which 80% of a pill of size 4cm would dissolve, given that it dissolve completely in 2hrs.

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V = 4π R³ / 3 of a spherical pill dV/ dt = 4 π R² = surface area of sphere let Z be a constant of proportionality.

Rate of change of Volume = d V / dt = - Z * 4π R² = - Z * S

time to dissolve 80% of the pill = 0.83 * 60 = 49.8 minutes