SOLUTION: Find the volume of the largest cylinder with circular base that can be inscribed in a cube whose volume is 27 cubic inches.

Algebra ->  Volume -> SOLUTION: Find the volume of the largest cylinder with circular base that can be inscribed in a cube whose volume is 27 cubic inches.      Log On


   

Question 159139: Find the volume of the largest cylinder with circular base that can be inscribed in a cube whose volume is 27 cubic inches.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the volume of the largest cylinder with circular base that can be inscribed in a cube whose volume is 27 cubic inches.
:
Find the length of one side of the the cube
s = CubeRoot(27)
s = 3 inches
:
The diameter of the cylinder will be 3 inches, radius = 1.5 inches
The height of the cylinder will 3 inches
The volume of a cylinder: V = pi%2Ar%5E2%2Ah
:
V = pi%2A1.5%5E2%2A3
V = 21.20575 cu inches