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#37890

geometry

volume

medium

70 sec

A right circular cylinder has a radius of $r$ and height of $h$ . If a new cylinder is created by doubling the radius of the original cylinder, by what factor must the height of the new cylinder be changed so that its volume is exactly the same as the original cylinder's volume?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.