2 Answers

Seoras · Answer 1 · 2020-07-20T20:41:09+0000

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.

Jpp · Answer 2 · 2020-07-26T01:08:16+0000

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

$V = \frac {4} {3} * \pi * r ^ 3$

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

Multiplying by 3 on both sides of the equation:

$3V = 4 * \pi * r ^ 3$

We divide between
$4 * \pi$ on both sides of the equation:

$\frac {3V} {4 \pi} = r ^ 3$

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

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

Answer:

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

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