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#33170

cylinders

volume

geometry

hard

120 sec

A cylindrical storage tank has a radius $R$ and a height $H$ . A new cylindrical tank is designed such that its radius is 20% greater than $R$ and its height is 10% less than $H$ . If the volume of the original tank is $V$ , what is the ratio of the volume of the new tank to the volume of the original tank? Express your answer as a decimal.

• 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.