Question 156632
he volume of a cone is 195 in3. Find a function that models the height h of the cone in terms of its radius r. 
:
The cone volume formula: V = {{{(1/3)pi*r^2*h}}}
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In this problem:
{{{(1/3)pi*r^2*h}}} = 195
:
Multiply both sides by 3:
{{{pi*r^2*h}}} = 3(195)
:
{{{pi*r^2*h}}} = 585
:
Divide both side by {{{pi*r^2}}}
h = {{{585/((pi*r^2))}}}