Question

question 7
the drawing shows three containers filled to the same height with the same fluid. in which container, if any, is the pressure at the bottom greatest?
image of three containers a, b, c
container a, because its bottom has the greatest surface area
container a, because it has the greatest volume of fluid
all three containers have the same pressure at the bottom
container b, because it has the least surface area

Explanation:

Step1: Recall Fluid Pressure Formula

The formula for fluid pressure at a depth \( h \) is \( P =
ho gh \), where \(
ho \) is the fluid density, \( g \) is gravitational acceleration, and \( h \) is the depth.

Step2: Analyze Given Conditions

All three containers have the same fluid (so \(
ho \) is equal) and are filled to the same height (so \( h \) is equal). The surface area or volume of the container does not affect the pressure at the bottom, as the formula depends only on \(
ho \), \( g \), and \( h \).

Step3: Evaluate Options

• Option 1: Surface area does not affect pressure (formula ignores it) → Incorrect.
• Option 2: Volume of fluid does not affect pressure (formula ignores it) → Incorrect.
• Option 3: Since \(

ho \), \( g \), and \( h \) are equal for all, pressure \( P \) is equal → Correct.

• Option 4: Surface area does not affect pressure → Incorrect.

Answer:

All three containers have the same pressure at the bottom