Volume of a bead with square hole- Program approach?

[Albert Chan]

(06-06-2020 10:43 PM)DM48 Wrote:  \( V_{prism} = 4\int_{0}^{\frac{b}{2}}\left ( r^2-y^2 \right )\,arcsin\left ( \frac{a}{2\sqrt{r^2-y^2}} \right )\,dy\,+\,\frac{a}{4}\left ( 4r^2-a^2 \right )arcsin\left ( \frac{b}{\sqrt{4r^2-a^2}} \right )\,+\,\frac{ab}{4\sqrt{4r^2-a^2-b^2}} \)

Last term were off, \(\sqrt{4r^2-a^2-b^2}\) should up in the numerator