Question

The formula for the volume of a sphere is v= 4/3 m^3 what is the formula solved for r ?

Answer 1

Answer:

            3V

r = ∛ ( ---------- )

            4π

Step-by-step explanation:

Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction.  Also note that this formula MUST include "pi," symbolized by π.

V = (4/3) π r³  This formula does NOT include "m," which is a unit of measurement, not a variable.

Our task is to solve this formula for the radius, r.

Divide both sides by (4/3) π, to isolate r³.  This results in:

      v               (4/3) π r³

-------------   =  -----------------

  (4/3) π             (4/3) π

                     

                       V              3V

Then r³ = --------------  =  --------

                   (4/3) π           4π

and r is found by taking the cube root of the above result:

            3V

r = ∛ ( ---------- )

            4π