A well of 0.4 m diameter fully penetrates a 25-m-thick confined aquifer of coefficient of permeability of 12 m/day. The well is located in the center of a circular island of radius 1km. The water level at the boundary of the island is 80 m. At what rate should the well be pumped so that the water level in the well remains 60 m above the bottom?

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.