 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from Danica: What portion of the height from top that the cone be cut into two equal volume? |
Hi Danica,
I can help get you started.
In my diagram the large cone has radius $r$ and height $h$ and the top part of the cone has radius $r_1$ and height $h_{1}.$ Your task is to determine the fraction $f = \large \frac{h_1}{h}.$
The triangles $ABC$ and $DBE$ are similar so
\[\frac{r_1}{r} = \frac{h_1}{h} = f.\]
Write back if you need more assistance,
Penny
| ||
| ||
| ||
 |
 |
|
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.