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Mathematics 13 Online
OpenStudy (oleg3321):

pls help

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

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|

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

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

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

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 ?

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

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):

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

OpenStudy (oleg3321):

Thanks

ganeshie8 (ganeshie8):

yw

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