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Tercentenary Triangle (Posted on 2024-07-19)

A triangle ABC has sides of length a, b and c.

A solid composed from two cones is produced by rotating the triangle by 360° about the side of length a. This process is then repeated for sides b and c to produce two more solids, both formed from pairs of cones.

Find the ratio of the volumes of the resulting solids.

No Solution Yet Submitted by Danish Ahmed Khan

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re: Solution? another way of expressing

| Comment 2 of 3 |

(In reply to Solution? by Jer)

Since each height is inversely proportional to its base we can also say the volumes are too:

Va:Vb:Vc = 1/a:1/b:1/c

Posted by Jer on 2024-07-20 18:19:01

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