circular disk.. the rays are parallel to the y-axis, the shadow is a square. If the rays are parallel to the x-axis, the shadow is an isosceles triangle. Assume that the projection onto the xz-plane is a square whose sides have length 1. What is the volume of the largest such solid? 1

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15. A solid has the following properties. When illuminated by light rays parallel to the z-axis, it's shadow is a circular disk. If
the rays are parallel to the y-axis, the shadow is a square. If the rays are parallel to the x-axis, the shadow is an isosceles
triangle. Assume that the projection onto the xz-plane is a square whose sides have length 1. What is the volume of the
largest such solid?
1
Transcribed Image Text:15. A solid has the following properties. When illuminated by light rays parallel to the z-axis, it's shadow is a circular disk. If the rays are parallel to the y-axis, the shadow is a square. If the rays are parallel to the x-axis, the shadow is an isosceles triangle. Assume that the projection onto the xz-plane is a square whose sides have length 1. What is the volume of the largest such solid? 1
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