The volume of a microbial culture is observed to increase according to the formula v(cm^3) = e^t where t is time in seconds(a) calculate the expression for v(in^3) in terms of t(h)(b) both the exponential function and its argument must be dimensionless. the given equation seems to violate both of these rules, and yet the equation is valid. explain this paradox. [hint: observe the result of part a]