Mathematics: The formula for the volume of a sphere is v=4/3nr3 . what is the formula solved for r

About 7. 24÷10= 2.4. 2.4×3 = 7.2...

The formula for the volume of a sphere is v=4/3nr3

nawafcanada

14.01.2022

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:

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

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