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Mathematics 21 Online
OpenStudy (anonymous):

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.

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.

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.

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

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

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

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?

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

OpenStudy (anonymous):

19, 461?

OpenStudy (sleepyhead314):

*scratches head* yeah, that's the closest one xD

OpenStudy (anonymous):

XDDDDD

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