The algebraic equation for the given statement is
Given that The volume (v) of a sphere varies directly as the cube of its diameter (d)
To find: statement in algebraic language using an equation with the variables c, v, and d
Let "v" be the volume of sphere
Let "d" be the diameter of sphere
From given information,
volume of sphere varies directly as the cube of its diameter
Where "c" is the constant of proportionality
Then the algebraic equation for the given statement will be :-
, where c is the proportionality constant.