Respuesta :

KhaRNate

V = 4/3 π r^3 //Multiply both sides by 3 and divide both sides by 4.

3V/4 = π r^3 //Divide both sides by π

(3V)/(4π) = r^3 //Cube root on both sides.

3√ (3V/4π)

NOTE: 3√ means cube root and not 3 times square root. Everything inside the root is cube root (3V)/(4π).

//Hope it helps.

carlosego

For this case we have that by definition, the volume of a sphere is given by:

[tex]V = \frac {4} {3} * \pi * r ^ 3[/tex]

We must find the solution for "r", clearing:

Multiplying by 3 on both sides of the equation:

[tex]3V = 4 * \pi * r ^ 3[/tex]

We divide between[tex]4 * \pi[/tex] on both sides of the equation:

[tex]\frac {3V} {4 \pi} = r ^ 3[/tex]

Finally, we apply cubic root on both sides of the equation:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

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