HALP D: https://vvsd6966-vvagpeap-ccl.gradpoint.com/Resource/6114359,67D,0,0,0,0,0/Assets/74794_53c6cc08/image0044e848638.gif
What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22/7 for pi.
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OpenStudy (anonymous):
@Mertsj
OpenStudy (mertsj):
The formula for the volume of the cylinder is:
\[V=\pi r^2h\]
OpenStudy (mertsj):
The volume of the half sphere is:
\[V=\frac{1}{2}\times \frac{4}{3} \pi r^3\]
OpenStudy (mertsj):
Calculate those two values and add them together.
OpenStudy (anonymous):
What numbers do I plug in where?Sorry I'm a bit new at this so I have no clue on what to do.
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OpenStudy (mertsj):
What is the radius of the cylinder?
OpenStudy (anonymous):
6 feet
OpenStudy (mertsj):
Then replace r with 6 in the cylinder formula.
What is the height of the cylinder?
OpenStudy (anonymous):
168ft
OpenStudy (mertsj):
Then replace h with 168 in the cylinder formula.
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OpenStudy (mertsj):
What is the radius of the half sphere?
OpenStudy (anonymous):
6ft?
OpenStudy (mertsj):
Then replace r with 6 in the half sphere formula.
OpenStudy (anonymous):
So the cylinder is V=pi 6^2 168?
OpenStudy (anonymous):
Um. So it's pi x 36 x 168? @Mertsj
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OpenStudy (anonymous):
@sleepyhead314
OpenStudy (sleepyhead314):
yes, that is right for the cylinder :)
OpenStudy (anonymous):
okay so it should be 19000.3523.....etc
OpenStudy (sleepyhead314):
hmmm that's the more accurate answer which is good
but I think they want you to use 3.14 as pi :/
OpenStudy (anonymous):
i did
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OpenStudy (anonymous):
well i used the pi button XD
OpenStudy (sleepyhead314):
yeah but if you do just 3.14
I got 18990.72 instead :P
OpenStudy (anonymous):
yeah I just got that too
OpenStudy (sleepyhead314):
ok and then we add the half sphere
OpenStudy (sleepyhead314):
(1/2)*(4/3)*(3.14)*(radius)^3
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OpenStudy (anonymous):
(1/2)*(4/3)*(3.14)*(6)^3?
OpenStudy (sleepyhead314):
yes :)
OpenStudy (anonymous):
um so it should be .5 x 1.33 x 3.14 x 6 x 6 x 6
OpenStudy (sleepyhead314):
hehe yes
which I got as 452.16
OpenStudy (anonymous):
o3o same now what do I do?
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OpenStudy (sleepyhead314):
18990.72 + 452.16 =
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
19442.88
OpenStudy (sleepyhead314):
right! :) then round to whole number
OpenStudy (anonymous):
19,008 ft3
19,461 ft3
6,336 ft3
453 ft3
These are my answer choices
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