SOLUTION: A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE IS 36.5 CM. WHAT IS THE VOLUME OF THE CYLINDER?

Algebra ->  Volume -> SOLUTION: A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE IS 36.5 CM. WHAT IS THE VOLUME OF THE CYLINDER?      Log On


   



Question 710183: A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE IS 36.5 CM. WHAT IS THE VOLUME OF THE CYLINDER?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the cone, with the same height and diameter as the cylinder, is exactly one third of the volume of the cylinder.

So

(Volume of Cone) = (1/3)*(Volume of Cylinder)

36.5 = (1/3)*(Volume of Cylinder)

36.5*3 = Volume of Cylinder

Volume of Cylinder = 109.5