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Case studies / Arithmetic

Watch · explainer animationEntrance-exam arithmetic (solids of revolution)

The volume of a solid made by spinning a right triangle

A right triangle with sides 5, 12 and 13 cm is rotated once around a line. What solid appears, where is its base, and which length is its height? A one-minute animation in which the figure builds up in the order of the judgments.

 Domain: Arithmetic

Analysis data (cue → response texts, stage analyses, explanation steps) is shown in the original Japanese. English rendering of the data layer is pending; titles, summaries and observations are in English.

PROBLEM

The problem

SubjectRight triangle ABC is rotated once around the line ℓ that contains side AB. What is the volume, in cm³, of the solid this produces? Take π to be 3.14.

CREATE BASE arithmetic materials (solids of revolution, Japanese junior-high entrance level). The original figure is omitted; the animation uses redrawn figures.

OUTPUT

Explainer animation

The figure moves to show the flow of judgment in order. Pause or rewind at any time.