Question

can somebody help me with ration please

Answer 1

be rational! ;)

Answer 2

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?

Answer 3

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..

Answer 4

you mean 4/3pi3 right

Answer 5

\[V = \frac{4}{3}\pi r^3\]
\[A = 4\pi r^2\]

Answer 6

So the ratios will be
\[\frac{V_3}{V_9} \text{ and } \frac{A_3}{A_9}\]

Answer 7

for 9 is 972pi and 324pi and for 3 36pi and 36pi

Answer 8

You need to divide them

Answer 9

show me how..

Answer 10

\[Ratio_{volume} = \frac{324\pi}{972\pi}\]

Answer 11

i got 0.33333333333

Answer 12

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

Answer 13

so that mean 1:3

Answer 14

no that means 1:27

Answer 15

for volume or SA

Answer 16

that was for volume

Answer 17

but now i need ratio for SA

Answer 18

so do the same thing

Answer 19

but with the surface area formula

Answer 20

324 and 36