Answer:
314 ft cubed
Step-by-step explanation:
To find the volume, find the volume of the cone and add it to the volume of the cylinder.
The volume of a cone is
[tex]V= \frac{1}{3}\pi r^2 h= \frac{1}{3}\pi (5^2)(12) = \frac{1}{3}\pi (25)(12)= \frac{1}{3}\pi *300 = 100\pi[/tex].
The volume of the cylinder is
[tex]V=\pi (5^2)(4)= \pi (25)(4)= 100\pi[/tex]
Together their volume is [tex]100\pi+100\pi=200\pi \\200\pi =314ft^3[/tex]
