Question

Describe and sketch a solid with the following properties. When illuminated by rays parallel to the z-axis, its shadow is a circular disk. If the rays are parallel to the y-axis, its shadow is a square. If the rays are parallel to the x-axis, its shadow is an isosceles triangle.

Answer 1

The solid formed is known as a conoid.

Step-by-step explanation:

The projection of the solid in XY plane is a circle of diameter D.

The projection of the solid in XZ plane is a square of length D.

The projection of the solid in YZ plane is an isosceles triangle of height D and base D.

The following picture shows all the projections and a sketch of the solid: