perplexus.info :: Just Math : Tercentenary Triangle

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

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info