SOLUTION: A 5 inch by 8 inch rectangular piece of paper can be rolled up to form either of two right circular cylinders, a cylinder with a height of 8 inches or a cylinder with a height of 5
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Question 1044591: A 5 inch by 8 inch rectangular piece of paper can be rolled up to form either of two right circular cylinders, a cylinder with a height of 8 inches or a cylinder with a height of 5 inches. What is the ratio of the volume of the 8 inch tall cylinder to the volume of the 5 inch tall cylinder? Found 2 solutions by Cromlix, ikleyn:Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,,
Considering cylinder of 8" height.
It will have a circumference of 5"
To find radius:
Circumference = 2πradius
2πradius = 5"
πradius = 2.5"
Radius = 2.5"/π
Volume = πr^2h
Volume = π(2.5/π)^2 x 8
Volume = 15.91 ins^3
........................
Considering cylinder of 5" height.
It will have a circumference of 8"
To find radius:
Circumference = 2πradius
2πradius = 8"
πradius = 4"
Radius = 4"/π
Volume = πr^2h
Volume = π(4/π)^2 x 5
Volume = 25.46 ins^3
.................
Ratio of volume of 8" tall cylinder
to volume of 5" tall cylinder
15.91 ins^3 to 25.46 ins^3
1 : 1.6.
Hope this helps :-)
