Calculating Volume and Weight of Water in a Cone Jar: Fluids (Pressure)

In summary, the volume of a cone can be calculated using the formula V = πr2h/3, where r is the radius of the base and h is the height. In this case, a jar with a cone shape and a height of 25 cm and a base radius of 15 cm is filled with water. The volume of the water in the jar is approximately 5.9 liters, with a weight of 58N. The excess force exerted by the water on the base of the jar can be calculated using the formula Fexcess= Fg-1atm/areaOfBase, and it will be considerably larger than 58N due to the excess pressure at the bottom of the jar. This
  • #1
knowNothing23
35
0
The volume of a cone of height h and base radius r is V = πr2h/3. A jar
in the shape of a cone of height 25 cm has a base with a radius equal to 15 cm.
The jar is filled with water. Then its lid (the base of the cone) is screwed on and
the jar is turned over so its lid is horizontal. (a) Find the volume and weight of the
water in the jar. (b) Assuming the pressure inside the jar at the top of the cone is
equal to 1 atm, find the excess force exerted by the water on the base of the jar.
Explain how this force can be greater than the weight of the water in the jar.

I don't understand part b.
Do they want me to find Fexcess= Fg-1atm/areaOfBase ?

I get for part a:
V=5.9 Liters
Fg=58N

Thank you.
 
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  • #2
The excess pressure at the bottom of the jar is rho*g*h. If you calculate the force on the bottom of the jar, you'll get something considerably larger than 59N.
 

Related to Calculating Volume and Weight of Water in a Cone Jar: Fluids (Pressure)

1. How do you calculate the volume of water in a cone jar?

To calculate the volume of water in a cone jar, you will need to use the formula V = (1/3)πr²h, where V is the volume, π is pi (approximately 3.14), r is the radius of the circular base, and h is the height of the cone jar.

2. What is the formula for calculating the weight of water in a cone jar?

The formula for calculating the weight of water in a cone jar is W = Vρg, where W is the weight, V is the volume of water, ρ is the density of water (approximately 1000 kg/m³), and g is the acceleration due to gravity (approximately 9.8 m/s²).

3. Can you use the same formula for calculating the volume and weight of any fluid in a cone jar?

Yes, you can use the same formula for calculating the volume and weight of any fluid in a cone jar as long as you know the density of the fluid. Simply substitute the density of the fluid into the formula instead of the density of water.

4. How does the pressure of the fluid affect the calculations for volume and weight in a cone jar?

The pressure of the fluid does not affect the calculations for volume and weight in a cone jar. As long as the fluid is contained within the cone jar and there is no change in the shape or size of the jar, the calculations will remain the same regardless of the fluid's pressure.

5. Are there any other factors that can affect the accuracy of the volume and weight calculations for water in a cone jar?

Some factors that can affect the accuracy of the volume and weight calculations for water in a cone jar include human error in measuring the radius and height of the jar, as well as the density of the water which can vary slightly depending on temperature and impurities. It is important to use precise measurements and the correct density of water for the most accurate calculations.

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