



 
Amy, The volume of the silo is the area of the base times the height. I drew a diagram of the base that you described. D is the midpoint of the side against the barn so triangle CDB is isosceles and angle CDB is a right angle. Thus
and hence
Thus the radius of the silo is 5 √2 ft and angle BCA is a right angle. Can you complete the problem from here? Is this argument allowed? The theorem of Pythagoras is so pervasive in the geometry of circles and trigonometry I'm not actually sure if my argument is "without using the Pythagorean Theorem". Harley  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 