Solve the problem as directed.
the volume (v) of a sphere varies directly as the cube of its diameter (d). write this statement in algebraic language,
using an equation with the variables c, v, and d.

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.

x/3-10=8

x/3=18

x=48