2 Answers

Osa · Answer 1 · 2020-06-20T04:05:56+0000

Answer:

x=5 assuming that x is the radius.

x is the radius?

Explanation:

$V=(4)/(3) \pi r^3$ is the volume of a sphere.

We are given
$V=(500)/(3) \pi$ cubic units.

We are asked to find the value of x. If x is not the radius, please correct me:

$V=(4)/(3)\pi r^3$ with
$V=(500)/(3) \pi$ and the assumption that x is r.

$(500)/(3)\pi=(4)/(3)\pi x^3$

If you multiply both sides by 3, then you would have:

$500 \pi=4 \pi x^3$

If you divide both sides by
$\pi$ you will have:

500=4x^3

If you divide both sides by 4, you will have:

125=x^3

The last step would be to take the cube root of both sides:

$\sqrt[3]{125}=x$

5=x

x=5

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