  Geometry, calculus and in particular integrals, are too often seen by young
students as technical tools with no link to the reality. This fact generates
into the students a loss of interest with a consequent removal of motivation in
the study of such topics and more widely in pursuing scientific curricula. With
this note we put to the fore a simple example of practical interest where the
above concepts prove central; our aim is thus to motivate students and to
reverse the dropout trend by proposing an introduction to the theory starting
from practical applications. More precisely, we will show how using a mixture
of geometry, calculus and integrals one can easily share a watermelon into
regular slices with equal volume.
