Upon close examination of a tank level gauge...

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Question 1 of 2066636ef128f7522a1c5232fd

Upon close examination of a tank level gauge scale marked in volume measurements, you notice that the distance between the lines is not evenly spaced throughout the length of the scale. What tank shape corresponds to this uneven spacing?

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🔍 Key Concepts

• Relationship between liquid height and volume for different tank shapes • How cylindrical vs rectangular tanks fill as level rises • Effect of horizontal vs vertical orientation on how much volume is added per unit of height

💭 Think About

• If each additional inch of height always adds the same volume, what would the spacing on the gauge look like? Which shape(s) behave like that? • For a horizontally arranged cylinder, does each extra inch of depth near the bottom add the same amount of volume as an inch near the middle? Why or why not? • How would dished (curved) ends change the way volume increases with level compared to perfectly flat ends?

✅ Before You Answer

• Identify which tank shapes give a constant cross‑sectional area at every level, and which do not • Think about where the gauge is mounted: does the measured height pass through a changing shape (curved surface) or a constant shape? • Before choosing, ask: in this shape and orientation, does equal change in level always mean equal change in volume? If not, spacing will be uneven.

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