Need help finding the volume of the solid of revolution

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I need finding the volume of the solid of revolution (a cup), convert the volume to ounces and having the calculation be a close approximate to the measured ounces.

I'm using the equation of the line but I'm not getting the results I'm looking for. I know the volume of the solid (a cup which is 16 oz) but my calculation are not coming close to it.

I was told to use the equation of the line to solve it but I'm not not getting the result I'm looking for.

How I'm finding the volume of the cup:

Cut the cup in half and trace that half to a graphing papaper mark the end points and calculate volume.

My calculations:

equation of the line

y = -1/4x + 15/2

volume of the solid of revolution: my calculations

Edit: What I was doing wrong

Is not that my calculation were wrong is just that went

1) I cut the cup in half, that half was a couple cm bigger than other half

2) went I traced half cup to the graph paper it wasn't properly center

3) I traced the end points from the top to the bottom but the bottom was intended about 0.5cm inside

Corrections:

Got new a cup and fixed the problems above and I'm getting a better approximation of 16.364oz

Graph:

Each point in the graph is a centimeter

Graph