Calculating Liquid Mass in a Vat with Varying Diameter and Depth

[jkb]

A 1.90 m-diameter vat of liquid is 2.70 m deep. The pressure at the bottom of the vat is 1.30 atm. What is the mass of the liquid in the vat?

I found the density of the fluid but now I'm stuck and I really can't get my mind around this even though i know its going to turn out being so easy...thanks the help in advance!

 

[andrevdh]

Density is given by

\rho = \frac{m}{V}

so you need to determine the volume of liquid in the vat.

 

[jkb]

Well, since a vat can isn't necessarily a cylinder how would I go about doing that? I tried to assume the vat was a cylinder and found that volume but the answer wasn't correct.

 

[6Stang7]

why do you say that? what makes you think it is not a cylinder?

 

[jkb]

Well i used the volume of a cylinder formula and found the volume and then using the density i found the mass but that answer was incorrect and i don't think i made any mistakes in the calculation so that's where i got stuck...

 

[3trQN]

oops, nevermind me

 

[6Stang7]

Well i used the volume of a cylinder formula and found the volume and then using the density i found the mass but that answer was incorrect and i don't think i made any mistakes in the calculation so that's where i got stuck...

well the problem stated that there was a diameter and a depth IE an cylinder. can you show us your work?

 

[andrevdh]

It is not really sensible to talk of a diameter if it changes. Unless there is a mathematical formula for calculating the volume of such a vat shaped object.