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#1 2007-05-25 01:04:55

kenneth
Member
Registered: 2007-05-25
Posts: 1

volume of irregular shape

A farmer stores corn in a silo. The cylinder-shaped silo has one flat rectangular shaped face that rests against the side of a barn. The height of the silo is 30 feet and the face resting against the barn is 10 feet wide. If the barn is about 5 feet from the center of the silo, what is the capacity of the silo in cubic feet?
Kenneth

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#2 2007-05-25 02:48:32

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: volume of irregular shape

Ok.. i dont know if im right... but heres what i did:

dsmnpqxs.jpg

kyfbhbxt.jpg

So my answer is 4284.219735 cubic feet....is that right anyone?

Last edited by Daniel123 (2007-05-25 02:51:52)

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#3 2007-05-25 03:43:40

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: volume of irregular shape

That looks perfect to me. Personally, I'd leave it as an exact answer instead of trying to decimalise the π, so I'd give it as 1125π + 750. But either way is right.


Why did the vector cross the road?
It wanted to be normal.

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#4 2007-05-25 03:47:17

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: volume of irregular shape

Woo my first ever right answer on the help me forum smile filled me with confidence for my exam next week smile

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#5 2007-05-25 05:45:34

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: volume of irregular shape

Cylindrical coordinates anyone?  Anyone?  This is only if you know calculus, which I'm probably gonna guess you don't.

Take the cylinder, integrate it from the sides of each triangle (where each side is actually the radius of the cylinder).  Then take the area of the triangular block, add, and you're done.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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