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What is the ratio of the surface area of a sphere with radius 2 ft to the surface area of a sphere with radius 5 ft?
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OpenStudy (anonymous):
what is the formula for surface area of a sphere?
OpenStudy (anonymous):
@Cal3blikespie
OpenStudy (anonymous):
A = 4 * π * r^2
OpenStudy (anonymous):
good so,
\[\frac{ 4*\pi * 2^{2} }{ 4*\pi * 5^{2} }\]
OpenStudy (anonymous):
The 4 and pi cancel out
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OpenStudy (anonymous):
We have 2^2/5^2
4/25
OpenStudy (anonymous):
0.16?
OpenStudy (anonymous):
im confused
OpenStudy (anonymous):
4/25 is 0.16
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
and so is 2^2/5^2
OpenStudy (anonymous):
so now what?
OpenStudy (anonymous):
is the ratio 2 to 5?
OpenStudy (anonymous):
4 to 25
OpenStudy (anonymous):
how did you get that?
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OpenStudy (anonymous):
We have 2^2/5^2
4/25
OpenStudy (anonymous):
I solved it see from the begining
OpenStudy (anonymous):
4∗π∗224∗π∗52
OpenStudy (anonymous):
ugh. you said the four and pi cancel out
OpenStudy (anonymous):
Yes
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OpenStudy (anonymous):
OMG
OpenStudy (anonymous):
i understand how you got 5^2 and 2^2
OpenStudy (anonymous):
but where did the 4/25 come from?
OpenStudy (anonymous):
So?
OpenStudy (anonymous):
2^2 is 4
5^2 is 25
So,
4/25
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OpenStudy (anonymous):
= 4:25
OpenStudy (anonymous):
oooooooh. ok i get it
OpenStudy (anonymous):
so when the ratio would be 4 to 25
OpenStudy (anonymous):
then
OpenStudy (anonymous):
yes.
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