anonymous
  • anonymous
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?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
What is the formula for the volume of a sphere?
anonymous
  • anonymous
4/3 pi3 right
anonymous
  • anonymous
4/3 pi r^3

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anonymous
  • anonymous
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.
anonymous
  • anonymous
i have for r=9 is 972pi3
anonymous
  • anonymous
and r=3 is 36pi3
anonymous
  • anonymous
Looks right but Im wondering where the 3 came from :P in pi3 I think you put it in by mistake.
anonymous
  • anonymous
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
anonymous
  • anonymous
so that mean 1:3 right?
anonymous
  • anonymous
is \[\frac{972\pi}{36\pi}\] 1:3?
anonymous
  • anonymous
so i got 27
anonymous
  • anonymous
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
anonymous
  • anonymous
324pi and 36pi

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