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anonymous

  • 5 years ago

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?

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  1. anonymous
    • 5 years ago
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    What is the formula for the volume of a sphere?

  2. anonymous
    • 5 years ago
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    4/3 pi3 right

  3. anonymous
    • 5 years ago
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    4/3 pi r^3

  4. anonymous
    • 5 years ago
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    well find the volume of each one first where the first volume has r=9 and the second has r=3 Why do we want the volume? Well we want to compare them right.

  5. anonymous
    • 5 years ago
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    i have for r=9 is 972pi3

  6. anonymous
    • 5 years ago
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    and r=3 is 36pi3

  7. anonymous
    • 5 years ago
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    Looks right but Im wondering where the 3 came from :P in pi3 I think you put it in by mistake.

  8. anonymous
    • 5 years ago
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    you know what ratio is right? basically a fraction and fractions is when you divide. You have to values so you divide one value with the other and you have the ratio

  9. anonymous
    • 5 years ago
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    so that mean 1:3 right?

  10. anonymous
    • 5 years ago
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    is \[\frac{972\pi}{36\pi}\] 1:3?

  11. anonymous
    • 5 years ago
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    so i got 27

  12. anonymous
    • 5 years ago
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    if tha's what is then yes for the volume. Do the same for surface area. Find the formula for surface area and use r=9 and r=3

  13. anonymous
    • 5 years ago
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    324pi and 36pi

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