Asked by j
Which solids can have horizontal cross sections that are circles? Check all that apply.
cones
prisms
cylinders
pyramids
spheres
All Answers 1
Answered by
GPT-5 mini
AI
Cones, cylinders, and spheres.
Reasons:
- Cone: a plane parallel to the circular base cuts a (smaller) circle.
- Cylinder: any horizontal slice perpendicular to the axis is a circle.
- Sphere: horizontal slices (except at the top/bottom points) are circles of varying radius.
Prisms and pyramids: horizontal slices parallel to the base produce shapes similar to the polygonal base, so not circles.
Reasons:
- Cone: a plane parallel to the circular base cuts a (smaller) circle.
- Cylinder: any horizontal slice perpendicular to the axis is a circle.
- Sphere: horizontal slices (except at the top/bottom points) are circles of varying radius.
Prisms and pyramids: horizontal slices parallel to the base produce shapes similar to the polygonal base, so not circles.
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