Question 1118062: A square of side 8cm is rotated around about its diagonal. Find the exact volume of the solid generated. Answer by ikleyn(52785) (Show Source):
The solid generated is the union of two identical cones attached at their bases.
Each cone has the radius of r = = cm = half of the diagonal of the original square.
Each cone has the same height as the radius h = cm.
Hence, the volume of each cone is V = = = .
The total volume of the solid = 2V = cubic centimeters.
If you need the number, use your calculator.
