<PRE><B>Question 159139</B>
Find the volume of the largest cylinder with circular base that can be inscribed in a cube whose volume is 27 cubic inches.
:
Find the length of one side of the the cube
s = CubeRoot(27)
s = 3 inches
:
The diameter of the cylinder will be 3 inches, radius = 1.5 inches
The height of the cylinder will 3 inches
The volume of a cylinder: V = {{{pi*r^2*h}}}
:
V = {{{pi*1.5^2*3}}}
V = 21.20575 cu inches
</PRE>