anonymous
  • anonymous
can somebody help me with ration please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
be rational! ;)
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?
anonymous
  • anonymous
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..

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anonymous
  • anonymous
you mean 4/3pi3 right
anonymous
  • anonymous
\[V = \frac{4}{3}\pi r^3\] \[A = 4\pi r^2\]
anonymous
  • anonymous
So the ratios will be \[\frac{V_3}{V_9} \text{ and } \frac{A_3}{A_9}\]
anonymous
  • anonymous
for 9 is 972pi and 324pi and for 3 36pi and 36pi
anonymous
  • anonymous
You need to divide them
anonymous
  • anonymous
show me how..
anonymous
  • anonymous
\[Ratio_{volume} = \frac{324\pi}{972\pi}\]
anonymous
  • anonymous
i got 0.33333333333
anonymous
  • anonymous
Hrm.. I think your original numbers are problematic... You should have.. \[\frac{\frac{4}{3}\pi 3^3}{\frac{4}{3}\pi 9^3} = \frac{3^3}{(3^2)^3} = \frac{3^3}{3^6} = \frac{1}{3^3} = \frac{1}{27}\]
anonymous
  • anonymous
so that mean 1:3
anonymous
  • anonymous
no that means 1:27
anonymous
  • anonymous
for volume or SA
anonymous
  • anonymous
that was for volume
anonymous
  • anonymous
but now i need ratio for SA
anonymous
  • anonymous
so do the same thing
anonymous
  • anonymous
but with the surface area formula
anonymous
  • anonymous
324 and 36

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