Question 200466
If the total area of cone is {{{96}}}{{{ Pie}}}, and the radius is {{{6}}}, what is the {{{slant}}}{{{ height}}}?

let the {{{slant}}}{{{ height}}} be {{{sh}}}

given:

 the total area of cone is {{{96}}}{{{ Pie}}}

 the radius is {{{6}}}

so,

{{{96 Pie=Pie*r*sh}}}

{{{96*3.14= 3.14*6*sh}}}...cancel {{{3.14}}}

{{{96= 6*sh}}}

{{{96/6 = sh}}}

{{{sh = 16}}}