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OpenStudy (blasofia98):
If the amount of air in a spherical balloon is 288 cu. in.,
what is the radius of the balloon?
a. 6 inches
b. 7.3 inches
c.72 inches
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OpenStudy (mecharv):
The amount of air translates to the volume of the sphere... so what is the formula for volume of a sphere?
OpenStudy (blasofia98):
I don't know, I don't understand this question at all
OpenStudy (mecharv):
You dont know the volume of a sphere? :O
OpenStudy (mecharv):
I am shocked cause I forgot it too :( xD
OpenStudy (blasofia98):
This is a remedial class for me. Im just trying to get done with it as fast as i can so i can graduate
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OpenStudy (mecharv):
I am just kidding, so yeah
Volume(V) of a sphere is \[V=\frac{ 4 }{ 3 }Pir^3\]
OpenStudy (blasofia98):
okay
OpenStudy (mecharv):
V=288
So,
\[288=\frac{ 4 }{ 3 }\times \pi \times r^3\]
Pi=3.14 so just find r :)
OpenStudy (blasofia98):
Thank you!
OpenStudy (mecharv):
Anytime :)
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OpenStudy (mecharv):
\[r^3=\frac{ 3 \times 288 }{ 4 \times 3.14 }\]
\[r^3=\frac{ 864 }{ 12.56 }=68.789\]
\[r=\sqrt[3]{789}=4.0973\]
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