<PRE><B>Question 864907</B>
The question asks for the volume of the cylinder MINUS the cone.  The heights of both shapes are equal.  Cylinder of diameter 12 has a hole drilled of diameter of base circle 3; and heights of both are equal.


Volume of cylinder:  formula, {{{v=h*pi*r^2}}}
Your example, h=15, r=6


Volume of cone:  formula, {{{v=(1/3)h*pi*r^2}}}
Your example, h=15, r=3


The volume asked is {{{highlight_green(15*pi*6^2-(1/3)*15*pi*3^2)}}}.</PRE>