Water hydro statics and presure

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SUMMARY

The discussion focuses on calculating the pressure at the bottom of an upside-down cone frustum filled with water, given its volume of 21.99114858 m³. The volume is derived using the formula (πh/3)×(R²+Rr+r²), where R is the radius of the larger circle, r is the radius of the smaller circle, and h is the height. Participants are encouraged to apply principles of hydrostatics to determine the pressure exerted by the water at the base of the frustum, emphasizing the importance of understanding liquid pressure equations.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the geometry of cone frustums
  • Knowledge of the formula for calculating volume of solids
  • Basic grasp of fluid mechanics concepts
NEXT STEPS
  • Study the hydrostatic pressure formula: P = ρgh
  • Learn about the properties of fluids in static equilibrium
  • Explore applications of cone frustum volume calculations in engineering
  • Investigate the effects of varying fluid densities on pressure calculations
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Students in engineering, physics enthusiasts, and professionals working in fluid mechanics or hydraulic systems will benefit from this discussion.

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Robin Murphy
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hey guys. bellow is an upside down cone frustum with the dimensions given bellow where the green R is the radius of the larger circle and the blue r is the radius of the smaller circle and the red h to be the height of the object
upload_2015-3-29_18-8-23.png

knowing that volume of this shape is calculated as (πh/3)×(R^2+Rr+r^2) = 21.99114858 m^3
if this object were to be filled with water then what would be the pressure of the water at the bottom of the object?
 
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Robin Murphy said:
hey guys. bellow is an upside down cone frustum with the dimensions given bellow where the green R is the radius of the larger circle and the blue r is the radius of the smaller circle and the red h to be the height of the object
View attachment 81182
knowing that volume of this shape is calculated as (πh/3)×(R^2+Rr+r^2) = 21.99114858 m^3
if this object were to be filled with water then what would be the pressure of the water at the bottom of the object?
What equations and principles have you been taught relating to pressure in a liquid?
 

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