SOLUTION: If the height of a right circular cylinder is quadrupled and the radius is divided by three, how is the volume changed?
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Question 200090: If the height of a right circular cylinder is quadrupled and the radius is divided by three, how is the volume changed?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Suppose the height and the radius of the original cylinder are h and r respectively. Then the volume of the original cylinder is
The height and the radius of the newly formed cylinder are 3h and r/3 respectively. Then the volume of the newly formed cylinder is
=
=
=
So the volume of the newly formed cylinder is only one third of the volume of the original cylinder.
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