Question

question
a solid is cut by a vertical plane, forming a two - dimensional cross section in the shape of a
circle. which of the following solids could have resulted in that cross section?
answer
sphere
triangular pyramid
right cone
right pentagonal prism
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Explanation:

Step1: Analyze cross - section of sphere

When a sphere is cut by any plane, the cross - section is always a circle.

Step2: Analyze cross - section of triangular pyramid

A triangular pyramid cut by a vertical plane can give a triangle (if cut through the apex and base) or other polygons, but not a circle.

Step3: Analyze cross - section of right cone

A right cone cut by a vertical plane (not through the apex) can give a parabola, hyperbola, or triangle (if through the apex), but not a circle (a horizontal plane would give a circle).

Step4: Analyze cross - section of right pentagonal prism

A right pentagonal prism cut by a vertical plane can give a pentagon or rectangle, but not a circle.

Answer:

sphere