Question 1118062
.
<pre>
The solid generated is the union of two identical cones attached at their bases.


Each cone has the radius of  r = {{{(8*sqrt(2))/2}}} = {{{4*sqrt(2)}}} cm = half of the diagonal of the original square.


Each cone has the same height as the radius  h = {{{4*sqrt(2)}}} cm.


Hence, the volume of each cone is  V = {{{(1/3)*pi*r^2*h}}} = {{{(1/3)*pi*4^2*2*4*sqrt(2)}}} = {{{(128/3)*pi*sqrt(2)}}}.


The total volume of the solid = 2V = {{{(256/3)*pi*sqrt(2)}}} cubic centimeters.


If you need the number, use your calculator.
</pre>