<PRE><B>Question 610699</B>
find the volume of the largest cylinder with a circular base that can be inscribed in a cube which has a volume of 27m^3.
**
let x=length= width= height of cube
volume=x^3=27m^3
x=3 m
..
length of cylinder=3 m
Diameter of circular base=3 m
volume of cylinder=&amp;#960;r^2*3=&amp;#960;(3/2)^2*3=27&amp;#960;/4
ans:
largest cylinder with a circular base that can be inscribed in the cube=27&amp;#960;/4 m^3</PRE>