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 Question from c.j, a student: what is the length of the radius of the LARGER cone(the LARGER cone has a slant height of 15) when the SMALLER cone has a radius of 8 and a slant height of 12ft ,please help.

Hi,

I assume have a diagram that looks something like this.

If so then the triangles $ABC$ and $DBE$ are similar and thus

$\frac{|AB|}{|BC|} = \frac{|DB|}{|BE|}$

I hope this helps,
Penny

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