The volume of an enclosed gas is based on the volume of its container. Increased pressure can force gas into a smaller enclosure. An oxygen tank shaped like a cylinder holds 4.9 cubic feet of gas and is 35.0 inches tall. Its contents are released into a second cylindrical tank that is 50.0 inches tall with a 5.25-inch radius. Note: 1 ft3 = 1,728 in³. 1. What is the radius of the first tank in inches? 2. What is the volume of the second tank, in cubic inches? 3. By how much will the gas expand or contract to fill the second tank? 4. Is the pressure in the second tank greater or less than the pressure in the first tank? Use 3.14 to approximate pi and round your answers to the nearest tenth of a unit, when appropriate.
The volume of an enclosed gas is based on the volume of its container. Increased pressure can force gas into a smaller enclosure. An oxygen tank shaped like a cylinder holds 4.9 cubic feet of gas and is 35.0 inches tall. Its contents are released into a second cylindrical tank that is 50.0 inches tall with a 5.25-inch radius. Note: 1 ft3 = 1,728 in³. 1. What is the radius of the first tank in inches? 2. What is the volume of the second tank, in cubic inches? 3. By how much will the gas expand or contract to fill the second tank? 4. Is the pressure in the second tank greater or less than the pressure in the first tank? Use 3.14 to approximate pi and round your answers to the nearest tenth of a unit, when appropriate.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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Transcribed Image Text:The volume of an enclosed gas is based on the volume of its container. Increased pressure can
force gas into a smaller enclosure. An oxygen tank shaped like a cylinder holds 4.9 cubic feet of
gas and is 35.0 inches tall. Its contents are released into a second cylindrical tank that is 50.0
inches tall with a 5.25-inch radius. Note: 1 ft3 = 1,728 in³.
1. What is the radius of the first tank in inches?
2. What is the volume of the second tank, in cubic inches?
3. By how much will the gas expand or contract to fill the second tank?
4. Is the pressure in the second tank greater or less than the pressure in the first tank?
Use 3.14 to approximate pi and round your answers to the nearest tenth of a unit, when
appropriate.
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