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

Question

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

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Hadley 2 weeks 2021-09-11T00:41:10+00:00 2 Answers 0

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    0
    2021-09-11T00:42:42+00:00

    Answer:

    125

    Step-by-step explanation:

    500 ÷ 4 = 125

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

    0
    2021-09-11T00:43:02+00:00

    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

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