SOLUTION: I've seen a few answers to this question, but each one is different, so I was wondering which is the correct one. I also have a picture of what this problem looks like, but I can't

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Question 217352: I've seen a few answers to this question, but each one is different, so I was wondering which is the correct one. I also have a picture of what this problem looks like, but I can't figure out how to attach it. Thanks for any help someone can give me.
Farmer John stores grain in a large silo located at the edge of his farm. The cylinder-shaped silo has one flat, rectangular face that rests against the side of his barn. The height of the silo is 30 feet and the face resting against the barn is 10 feet wide. If the barn is approximately 5 feet from the center of the silo, determine the capacity of Farmer John’s silo in cubic feet of grain.

Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If you scan and email the picture to gsihoutx@aol.com I'll work it.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
Farmer John stores grain in a large silo located at the edge of his farm. The cylinder-shaped silo has one flat, rectangular face that rests against the side of his barn. The height of the silo is 30 feet and the face resting against the barn is 10 feet wide. If the barn is approximately 5 feet from the center of the silo, determine the capacity of Farmer John’s silo in cubic feet of grain.
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If you look at the silo from the top, it would look like a circle with a radius that is intercepted with a chord that is perpendicular to it 5 feet from the center of the circle.
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Since the chord is 10 feet and the radius cuts it in half, then the triangle formed is composed of 2 right triangles, each of which has a tangent that is equal to 1 making each of the angles 45 degrees. These would be angle BAD and angle CAD in the picture shown at the bottom of this analysis.
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The sum of the 2 angles is 90 degrees. This would be the central angle CAB in the picture. This means that one fourth of the circumference of the circle is encompassed by this triangle.
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The hypotenuse of one of these triangle equals sqrt%285%5E2%2B5%5E2%29+=+sqrt%2850%29. This hypotenuse is equal to the radius of the circle.
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If you look at this diagram, the area of the circle is pi%2Ar%5E2%29 = pi+%2A+50 equals 157.0796327 square feet.
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The area of the triangle ABC is 1%2F2%2Ab%2Ah+=+%281%2F2%29%2A10%2A5 = 25 square feet.
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The area that belongs to the silo is (3/4) * the area of the circle plus the area of the triangle which equals 117.8097245 + 25 equals 142.8097245 square feet.
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Since the volume of a circular cylinder and a triangular prism is the area of the base of each of these objects times the height of each of these objects, then if we multiply 142.8097245 by 30 feet, we will get 4284.291735 cubic feet.
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Note that this is the same as doing each separately as shown below:
117.8097245 * 30 = 3534.291735 cubic feet.
25 * 30 = 750 cubic feet.
3534.291735 + 750 = 4284.291735 cubic feet which is the same number we calculated above.
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the capacity of the silo is 4284.291735 cubic feet of grain.
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Click on the following hyperlink to see my picture of this problem. Hopefully it will be somewhat in agreement with yours.
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Top View of Silo
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