Two drinking glasses, 1 and 2, are filled with water to the same depth. Glass 1 has twice the diameter of glass 2. Is the weight of the water in glass 1 greater than, less than, or equal to the weight of the water in glass 2? Is the pressure at the bottom of glass 1 greater than, less than, or equal to the pressure at the bottom of glass 2?

Respuesta :

Answer:

Explanation:

Given

Depth of Water is same for Both glasses

Glass 1 has diameter twice of diameter of Glass 2

Pressure at the Bottom is given by

[tex]P=\rho gh[/tex]

where [tex]\rho =density\ of\ water[/tex]

[tex]g=acceleration\ due\ to\ gravity[/tex]

[tex]h=depth\ of\ bottom\ Surface\ from\ free\ surface\ of\ Fluid[/tex]

Since depth is same for both glass therefore Pressure at bottom is same

[tex]Weight=mass\times g[/tex]

[tex]Weight=\rho \times V\times g[/tex]

[tex]Weight=\rho \times A\times h\times g[/tex]

[tex]Weight=\rho \times \frac{\pi d^2}{4}\times h\times g[/tex]  

since weight is proportional to [tex]d^2[/tex] therefore weight of First glass will be more

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