Question 1133905
.
<pre>

The curved surface area of any cone is the product of {{{pi*r}}} by the slant height,

where r is the base radius.


Therefore, you can find the slant height h of the second cone from the equation

    {{{pi*5*12}}} = {{{pi*6*h}}}


which gives  h = {{{(5*12)/6}}} = 10 cm.



By knowing the base radius 6 cm and the slant height 10 cm of the second cone, you can find its height H

from the right angled triangle


    H = {{{sqrt(10*10 - 6*6)}}} = 8 centimeters.      <U<ANSWER</U
</pre>