Given:
32 antelopes near the water hole within a radius of 3/4.
The unit for population density is the number of "people" per unit area. First, we need to solve for the area of the circle with a radius of 3/4:
Area of a circle:
A = (pi) * r^2
A = 3.14 * (3/4)^2
A = 1.76625 sq. units
Population density:
Density = 32 antelopes / 1.76625 sq. units
Density = 18.12 antelopes / sq unit
Therefore, there are 18 antelopes per square unit occupying the place near the water hole.
