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Slickster256

  • one year ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is mc013-1.jpg. What is the volume of the sphere?

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  1. DanJS
    • one year ago
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    k

  2. DanJS
    • one year ago
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    What is the volume of the cylinder?, it messed up

  3. slickster256
    • one year ago
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    50ft sorry it messed up

  4. DanJS
    • one year ago
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    50 ft^3 ?

  5. slickster256
    • one year ago
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    yea

  6. DanJS
    • one year ago
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    ok...

  7. DanJS
    • one year ago
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    Volume of a Sphere = (4/3) * pi * r^3 and Volume Cyl = pi * r^2 * h

  8. DanJS
    • one year ago
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    you recognize those?

  9. slickster256
    • one year ago
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    yes those are formulas for volume

  10. DanJS
    • one year ago
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    They both have the same radius, r the thing to recognize is it says they are both the same height, so...

  11. DanJS
    • one year ago
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    the height of the cylinder is the diameter of the sphere, or , 2*r

  12. DanJS
    • one year ago
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    you see that?

  13. slickster256
    • one year ago
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    yes but r^2 and r^3 doeesnt simplify does it?

  14. DanJS
    • one year ago
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    sub in h=2r for the cylinder

  15. slickster256
    • one year ago
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    oh....

  16. DanJS
    • one year ago
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    Sphere Vol = (4/3) * pi * r^3 Cylinder Vol = 50 = pi * r^2 * 2r

  17. DanJS
    • one year ago
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    Now you have 2 equations with 2 unknown values, r and sphere volume. you can solve for those

  18. slickster256
    • one year ago
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    thank you very much

  19. DanJS
    • one year ago
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    2pi *r^3 = 50 , solve r, use that in sphere volume..

  20. DanJS
    • one year ago
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    welcome

  21. DanJS
    • one year ago
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    i got the volume sphere as 100/3 ft^3, for ya to check..

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