IKMC 2027 - Grades 11-12 - Self-study SET 10 - Thematic Batch 3 Question 30

An inelastic plastic bottle is a regular hexagonal prism. Alex fills it with water and freezes it; the bottle then has the shape of a circular cylinder. Approximately what percentage has its volume increased?

Model note: Use the source’s idealised fixed-height, fixed-base-perimeter deformation.