<PRE><B>Question 337074</B>
A mechanical engineer drilled a hole through a metal cube.
 If the bases of the right cylinder representing the hole are inscribed in the
 bases of the cube and the volume of the cube is 256 m, find the volume of the
 remaining solid figure after the hole has been drilled.
:
Find the length of a side of the cube, find the cube root of 256
s = {{{3sqrt(256)}}}
s = 6.3496 m
this is also the diameter of the drilled hole and the height of the hole
r = 6.3496/2
r = 3.1748 is the radius
:
Find volume of the hole (a cylinder)
v = {{{pi*3.1748^2*6.3496}}}
v = 201 cu/m
:
256 - 201 = 55 cu/m
:
But would it still be a solid figure if you did this; wouldn&#39;t it fall apart
into 4 pieces? </PRE>