Question

question a solid is cut by a plane that is perpendicular to its base, forming a two - dimensional cross section in the shape of a triangle. which of the following solids could have resulted in that cross section? a (sphere), b (cone), c (cylinder), d (pyramid - like solid) answer

Explanation:

Step1: Analyze cross - section of sphere

A sphere cut by any plane gives a circular cross - section, not a triangle.

Step2: Analyze cross - section of cylinder

A cylinder cut perpendicular to its base gives a circular cross - section (if cut parallel to the base) or a rectangle (if cut perpendicular to the base and parallel to the axis), not a triangle.

Step3: Analyze cross - section of cone

A cone cut perpendicular to its base (and passing through the vertex) gives a triangular cross - section.

Step4: Analyze cross - section of frustum (the shape in D)

A frustum (a truncated pyramid or cone) cut perpendicular to its base does not give a triangular cross - section in the way described.

Answer:

B. Cone