30.66pi ft³
First, we need to find the volume of the cylinder using the following equation
[tex]V = r^2h\pi \\V = (2^2)5\pi \\V = (4)5\pi \\V = 20\pi[/tex]
The volume of the cylinder is 20pi
Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole
[tex]V = \frac{4}{3} r^3\pi \\V = \frac{4}{3} 2^3\pi \\V = \frac{4}{3} 8\pi \\V = 10\frac{2}{3} \pi[/tex]
The volume of both half spheres is 10.66pi
Now we can add both together to get 30.66pi ft³
