Question 134109: A square with side length 6 inches is revolved about a diagonal as an axis. Find the volume of the solid created by this revolution. Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! The solid figure would be two right circular cones, base to base. The pertinent dimensions of one of the cones, namely the radius of the base and the height of the cone, would both measure one-half the measure of the diagonal of the square.
Since the square has a side of 6, the diagonal measures , therefore half of the diagonal would measure .
The formula for the volume of a right circular cone in terms of the height and the radius of the base is: and since there are two such cones, we need to multiply this volume by 2, hence our total volume is given by:
