Question

The volume of the spheres is 500/3 pie cubic units What is the value of X?

Answer 1

Answer:

x=5 assuming that x is the radius.

x is the radius?

Step-by-step explanation:

$V=\frac{4}{3} \pi r^3$ is the volume of a sphere.

We are given $V=\frac{500}{3} \pi$ cubic units.

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

$V=\frac{4}{3}\pi r^3$ with  $V=\frac{500}{3} \pi$  and the assumption that x is r.

$\frac{500}{3}\pi=\frac{4}{3}\pi x^3$

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:

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

$5=x$

$x=5$

Answer 2

Answer:

125

Step-by-step explanation:

500 ÷ 4 = 125

I think this is the right answer. sorry if I'm wrong.