Given:
There are given that cone and hemisphere:
Explanation:
First, we need to find the radius of the cone,
(1):
From the given figure,
The radius of the cone is equal to the radius of the hemisphere.
So,
The radius of the cone is 3.
(2):
Volume of the cone is:
[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times r^2\times h \\ =\frac{1}{3}\times3.14\times9\times12 \\ =3.14\times3\times12 \\ =113.04in^3 \end{gathered}[/tex]
(3):
Volume of hemisphere is:
[tex]\begin{gathered} V=\frac{2}{3}\pi r^3 \\ =\frac{2}{3}\times3.14\times27 \\ =2\times3.14\times9 \\ =56.52in^3 \end{gathered}[/tex]
