Answer: 670 ft
Step-by-step explanation:
We essentially have a cylinder and a cone that we can break the shape down into.
Volume of cylinder = [tex]\pi r^{2} h[/tex]
Volume of cone = [tex]\pi r^{2} \frac{h}{3}[/tex]
Volume of that shape = [tex]\pi r^{2} h + \pi r^{2} \frac{h}{3}[/tex]
Radius = [tex]\frac{diameter}{2} = 4[/tex]
Height of cylinder = 12
Height of cone = 16 - 12 = 4
Volume of cylinder = [tex]\pi*4^{2}* 12 = 192\pi[/tex]
Volume of cone = [tex]\pi*4^{2}*\frac{4}{3} = \frac{64}{3}\pi[/tex]
Volume of shape = [tex]\frac{64}{3} \pi +192\pi[/tex]
= [tex]21.3\pi +192\pi = 213.3\pi[/tex]
or 670.1 feet
