Question

The volume of the sphere is 500/3pi cubic units. What is the value of x

Answer 1

Answer:

Step-by-step explanation:

Formula for the volume of a sphere is V = (4/3) (π) r³

                                                                        3V           4²

and so the cube of the radius, "r," is   r³ = ------------- * -----

                                                                           4           4²

Taking the cube root of both sides, we get        

                                                ∛[3V / 4²]                3V

and so the radius, "r," is   r = ------------------ =  ∛ ( --------- )  = (1/4)*∛(3*v)

                                                      ∛[4³]                   4³

Then

r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:

r = (1/4)*∛[ 3*500/3π ]  =   (1/4)*∛[ 500/π ]