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anonymous

  • 5 years ago

can somebody help me with ration please

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  1. anonymous
    • 5 years ago
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    be rational! ;)

  2. anonymous
    • 5 years ago
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    The celestial sphere shown at right has radius 9 inches. The planet in the sphere’s center has radius 3 inches. What is the ratio of the volume of the planet to the volume of the celestial sphere? What is the ratio of the surface area of the planet to the surface area of the celestial sphere?

  3. anonymous
    • 5 years ago
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    So you'll need to put the surface area of the one, over the other, and same for volume. I'm assuming you have/know the formula for the surface area or volume of a sphere..

  4. anonymous
    • 5 years ago
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    you mean 4/3pi3 right

  5. anonymous
    • 5 years ago
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    \[V = \frac{4}{3}\pi r^3\] \[A = 4\pi r^2\]

  6. anonymous
    • 5 years ago
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    So the ratios will be \[\frac{V_3}{V_9} \text{ and } \frac{A_3}{A_9}\]

  7. anonymous
    • 5 years ago
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    for 9 is 972pi and 324pi and for 3 36pi and 36pi

  8. anonymous
    • 5 years ago
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    You need to divide them

  9. anonymous
    • 5 years ago
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    show me how..

  10. anonymous
    • 5 years ago
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    \[Ratio_{volume} = \frac{324\pi}{972\pi}\]

  11. anonymous
    • 5 years ago
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    i got 0.33333333333

  12. anonymous
    • 5 years ago
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    Hrm.. I think your original numbers are problematic... You should have.. \[\frac{\frac{4}{3}\pi 3^3}{\frac{4}{3}\pi 9^3} = \frac{3^3}{(3^2)^3} = \frac{3^3}{3^6} = \frac{1}{3^3} = \frac{1}{27}\]

  13. anonymous
    • 5 years ago
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    so that mean 1:3

  14. anonymous
    • 5 years ago
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    no that means 1:27

  15. anonymous
    • 5 years ago
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    for volume or SA

  16. anonymous
    • 5 years ago
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    that was for volume

  17. anonymous
    • 5 years ago
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    but now i need ratio for SA

  18. anonymous
    • 5 years ago
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    so do the same thing

  19. anonymous
    • 5 years ago
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    but with the surface area formula

  20. anonymous
    • 5 years ago
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    324 and 36

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