45π cm³
1) Given that ice cream, we have a hemisphere and a cone. So let's find out the volume of the hemisphere and that cone.
V cone:
Plugging into that formula we can write:
[tex]\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h \\ V=\frac{1}{3}\cdot\pi\cdot(3)^2\cdot9 \\ V=27\pi cm^3 \end{gathered}[/tex]
The volume of the hemisphere:
We can find out by using this formula of the circle, multiplied by 1/2
[tex]\begin{gathered} V=\frac{4}{3}\pi\cdot r^3\times\frac{1}{2}^{} \\ V_{\text{hemisphere}}\colon18\pi \end{gathered}[/tex]
3) So the volume of that shape (hemisphere + cone) is:
V shape = 27π+18π =45π cm³
