Question

I don't get this could you help me understand this better

Answer 1

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:

`\begin{gathered} V=(1)/(3)\cdot\pi\cdot r^2\cdot h \\ V=(1)/(3)\cdot\pi\cdot(3)^2\cdot9 \\ V=27\pi cm^3 \end{gathered}`

The volume of the hemisphere:

We can find out by using this formula of the circle, multiplied by 1/2

`\begin{gathered} V=(4)/(3)\pi\cdot r^3*(1)/(2)^{} \\ V_{\text{hemisphere}}\colon18\pi \end{gathered}`

3) So the volume of that shape (hemisphere + cone) is:

V shape = 27π+18π =45π cm³