Mathematics
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OpenStudy (oleg3321):
pls help
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OpenStudy (oleg3321):
OpenStudy (oleg3321):
@ganeshie8
ganeshie8 (ganeshie8):
First, get a feel of the given container
ganeshie8 (ganeshie8):
Have you seen NASA launching a rocket before ?
|dw:1468311194331:dw|
ganeshie8 (ganeshie8):
Cylindrical base
Cone top
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OpenStudy (oleg3321):
On the internet yes
ganeshie8 (ganeshie8):
Lookup the formulas for volume of cylinder and cone
OpenStudy (oleg3321):
formula for cylinder- V=πr2h
formula for cone- V=πr^2 h/3
ganeshie8 (ganeshie8):
Yes, use them.
ganeshie8 (ganeshie8):
|dw:1468311402595:dw|
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ganeshie8 (ganeshie8):
diameter = 20
radius = ?
OpenStudy (oleg3321):
radius-10ft
ganeshie8 (ganeshie8):
|dw:1468311472610:dw|
ganeshie8 (ganeshie8):
Cylinder :
radius = 10
height = 60
Volume = ?
OpenStudy (oleg3321):
Volume=18849.56
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ganeshie8 (ganeshie8):
Yes, next look at the cone top
ganeshie8 (ganeshie8):
|dw:1468311618891:dw|
OpenStudy (oleg3321):
volume of cone=1570.8
ganeshie8 (ganeshie8):
Notice that it is sitting on the cylinder,
so it has same radius as the cylinder
ganeshie8 (ganeshie8):
Yes, simply add both the volumes to get the overall volume of the container
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OpenStudy (oleg3321):
20420.36
ganeshie8 (ganeshie8):
Perfect!
OpenStudy (oleg3321):
But it says how much corn can the silo hold, and all the answers are in cubic feet.
ganeshie8 (ganeshie8):
It can hold 20420.36 cubic feet of corn
ganeshie8 (ganeshie8):
Let me ask you a question
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ganeshie8 (ganeshie8):
Suppose you're walking on road and feel thirsty.
ganeshie8 (ganeshie8):
You go to a nearby shop and buy 1 liter water bottle
ganeshie8 (ganeshie8):
How much water does the bottle have ?
OpenStudy (oleg3321):
1 liter
ganeshie8 (ganeshie8):
good,
how much water can the bottle hold ?
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OpenStudy (oleg3321):
1 liter
ganeshie8 (ganeshie8):
Good, you empty the bottle and go to a nearby coconut shop.
ganeshie8 (ganeshie8):
ask the shop person to fill it with the coconut water
ganeshie8 (ganeshie8):
can you tell me how much coconut water the bottle can hold ?
OpenStudy (oleg3321):
still 1 liter
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ganeshie8 (ganeshie8):
Yes, the bottle has a volume of 1 liter; so it can hold 1 liter of ANYTHING
ganeshie8 (ganeshie8):
cubic feet is another unit to measure volume
ganeshie8 (ganeshie8):
The given silo has a volume of 20420.36 cubic feet
so it can hold 20420.36 cubic feet of corn
OpenStudy (oleg3321):
But look at the answer choices, the closest answer is 10 cubic feet off
OpenStudy (oleg3321):
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ganeshie8 (ganeshie8):
Ahh, that's okay. Remember we are dealing with an irrational number \(\pi\)
OpenStudy (oleg3321):
Oh ok
ganeshie8 (ganeshie8):
10 is neligible compared to 20000
so we are good
ganeshie8 (ganeshie8):
Looks your teacher is using 3.14 for pi
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OpenStudy (oleg3321):
Thanks
ganeshie8 (ganeshie8):
yw