Verified Answer :

Call the radius r and the height of the cone h.  The formula for the volume of a cone is r^2hpi/3, and the formula for the volume of a sphere is 4r^3/3, so half of a sphere has volume 2r^3/3.  Adding these, our answer is:

\(\frac{r^2 h \pi+r^3}{3}\)

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