<PRE><B>Question 1071194</B>
 A wooden cube with a volume of 45cm3 is carved into the largest sphere possible. What is the volume of wood which must be carved off? 
:
The side and the diameter of the sphere: {{{45^(1/3)}}} = 3.5569 cm
then
{{{3.5569/2}}} = 1.7784 cm is the radius
:
Find the volume of the sphere
V = {{{4/3}}}{{{pi*1.7784^3}}}
V = 23.56 cu/cm is the volume of the sphere
:
45 - 23.56 = 21.34 cu/cm of wood has to be removed</PRE>