Question
A cylindrical drum of radius 0.5 m is used to hold 400 liters of petroleum ether (density = .68 g/mL or $680 \textrm{ kg/m}^3$). (Note: $1 \textrm{ liter} = 0.001 \textrm{ m}^3$)
1. Determine the amount of pressure applied to the walls of the drum if the petroleum ether fills the drum to its top.
2. Determine the amount of pressure applied to the floor of the drum if the petroleum ether fills the drum to its top.
3. If the drum were redesigned to hold 800 liters of petroleum ether:
1. How would the pressure on the walls change? Would it increase, decrease, or stay the same?
2. How would the pressure on the floor change? Would it increase, decrease, or stay the same?
1. $1.70 \times 10^3 \textrm{ Pa}$
2. $3.40 \times 10^3 \textrm{ Pa}$
3. i) average pressure increases with increases in volume. ii) Pressure at the floor of the container increases with volume.
Solution Video

# OpenStax College Physics for AP® Courses Solution, Chapter 11, Problem 5 (Test Prep for AP® Courses) (2:47)  