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Solid of revolution vase — image 1

Solid of revolution vase

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It's not just math, it's art.

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Category
Math
License
Creative Commons — Attribution — Noncommercial — Share Alike

The vertical graph y = f (x) is rotated around the x axis. Volume of the rotating body:

The used function: (0.05 x^2 + cos(x) + 2) / 2    :    x ∈ [0, 10] (cm)

V = 119.94 cm^3

The function is written on the bottom of the vase.

 

I made it for my calculus teacher and she really liked it.

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