SOLUTION: Either a right cylinder or a cube can be formed by bending the same rectangular sheet of aluminum. Neither the cylinder nor the cube will have a bottom or top. Find the volume of t
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Question 701028: Either a right cylinder or a cube can be formed by bending the same rectangular sheet of aluminum. Neither the cylinder nor the cube will have a bottom or top. Find the volume of the cylinder if the volume of the cube is 27pi/4 cm3. Plaese show me step by step .Thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Either a right cylinder or a cube can be formed by bending the same rectangular sheet of aluminum.
Neither the cylinder nor the cube will have a bottom or top.
Find the volume of the cylinder if the volume of the cube is 27pi/4 cm3.
:
let x = one side of the cube
then the sheet of aluminum will be 4x by x
and the volume of cube:
x^3 =
:
The cylinder,
4x = the circumference of the cylinder
and
x = the height
Use the circumference to find the radius of the cylinder
Find the volume of cylinder: , replacing r and h
V =
V =
cancel pi
V =
We know from the vol of the cube that x^3 =
V =
Cancel the 4
V =
Cancel pi
V = 27 cu/cm is the volume of the cylinder
:
:
Hey student, did this actually make sense? It's the end of the day for me and I am not thinking very well. Hope it does. C
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