Question

imagine you have a cone standing on its circular base. which type of cut would you need to make to create a circular cross - section from the cone?
diagonal cut through the side
vertical cut through the apex
horizontal cut parallel to the base
vertical cut off - center

Explanation:

• A diagonal cut through the side of a cone would result in an elliptical cross - section.
• A vertical cut through the apex of a cone gives a triangular cross - section.
• A vertical cut off - center of a cone gives a parabolic or hyperbolic cross - section (depending on the exact cut).
• When we make a horizontal cut parallel to the base of a cone, the cross - section is a circle. This is because the set of points at a constant height (parallel to the base) from the base of a circular - based cone forms a circle.

Answer:

horizontal cut parallel to the base