Question 132195: I am currently a middle school math teacher, and I cannot seem to figure out how to solve the following problem. I know that it is more than just volume of a cylinder, but I do not know exactly what to do. Thank you for your help:
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.
Answer by kev82(151)   (Show Source):
You can put this solution on YOUR website! You agree the volume of this is the cross sectional area times the height, so the real task is to find the cross sectional area.
Draw a circle and on it add a chord of length 10 (the barn wall). Do you agree that the area we want is the major segment defined by this chord?
We know the perpendicular distance from the center to the chord is 5, therefore we can calculate the radius of the circle and the angle defining the relevant sector.
I think you know where to go from here, but if not, you basically say the area of the major segment is the total area minus the area of the minor segment. The area of the minor segment is the area of the sector minus the area of the triangle.
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