**WILL MEDAL**
Janine inflated 1 ball to a radius of 18 cm and another ball to a radius of 12 cm.
How much more air was in the larger ball?
Use 3.14 to approximate pi and express your answer in hundredths.
___cm3
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OpenStudy (anonymous):
well the volume of a sphere is 4/3pir^3
so you would take the volume of both and then take the difference
OpenStudy (anonymous):
So 129.5567
OpenStudy (isaiah.feynman):
Difference in volume is given by \[V-v = \frac{ 4 }{ 3 }\pi R^{3} - \frac{ 4 }{3 } \pi r^{3}\]
OpenStudy (anonymous):
well i got a different answer
i did
4/3pi(18)^3 - 4/3pi(12)^3
is this what you did
OpenStudy (anonymous):
Im confused
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OpenStudy (isaiah.feynman):
We can then simplify by doing, \[V-v = \frac{ 4 }{ 3 }\pi(R^{3}-r^{3})\]
OpenStudy (isaiah.feynman):
Where big r is the radius of the big ball and small r is the radius of the small ball.
OpenStudy (anonymous):
Im still confused whats the answer?
OpenStudy (anonymous):
well
just take it step by step
18^3-12^3 is what
OpenStudy (anonymous):
5832-1728
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OpenStudy (anonymous):
and that is 4104
OpenStudy (anonymous):
the just multiply that by 4 then divide by 3
OpenStudy (anonymous):
after that multiply by pi
OpenStudy (anonymous):
17182.08?
OpenStudy (anonymous):
@MelodicSymphony
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