Just a Simple* Math Question

[Rodion Romanovich]

Edit: I know how to integrate and find volume using integration.

Equation is 3+0.1x for the line of the side of the cone. Integrate this equation by using the disc solid of revolution method from 0 to 5 for the water-filled 5 cm stuff, and from 0 to 10 for the full capacity. The full equation would be something like:
pi * INTEGRAL((3+0.1x)^2)dx
with the integral limits being 0 and 5, and 0 and 10, respectively.

This should become:
pi * INTEGRAL0to5 (9 + 0.6x + 0.01x^2) dx =
pi * (9*5 + 0.3 * 5^2 + 0.01/3* 5^3) =
pi * (45 + 7.5 + 0.01/3* 125) =
pi * (52,5 + 1.25/3) =
pi * 635/12 = approx. 166 cm^3

I hope I got the calculation right, but I'm not sure