Tennis Balls
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a. Lying on its side, the container passes through an Xray scanner in an airport. If the material of the container is opaque to Xrays, what outline will appear? With what dimensions?
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b. If the material of the container is partially opaque to Xrays and the material of the balls is completely opaque to Xrays, what will the outline look like (still assuming the can is lying on its side)?
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c. The central axis of the container is a line that passes through the centers of the top and bottom. If one cuts the container and balls by a plane passing through the central axis, what does the intersection of the plane with the container and balls look like? (The intersection is also called a cross section. Imagine putting the cut surface on an ink pad and then stamping a piece of paper. The stamped image is a picture of the intersection.)
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d. If the can is cut by a plane parallel to the central axis, but at a distance of 1 inch from the axis, what will the intersection of this plane with the container and balls look like?
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