Answer:
[tex]408\pi ft^3[/tex] or [tex]1281.770ft^3[/tex]
Step-by-step explanation:
In order to figure out the amount of water that the tank can hold, we need to find the volume of the cone and the cylinder. We can do this by applying the formula for both figures separately given their dimensions to find the volume of each figure, then adding them together:
Cone - [tex]V = \frac{1}{3} \pi r^{2} h[/tex]
Cylinder - [tex]V = \pi r^{2}h[/tex] (area of circle times height)
- Cone volume = [tex]\frac{1}{3} \pi (6)^2(10)= 120\pi[/tex]
- Cylinder volume = [tex]\pi (6)^2(8)= 288\pi[/tex]
- [tex]120\pi +288\pi =408\pi ft^3[/tex] or [tex]1281.770ft^3[/tex]
(Note that the answer must include units, as they are given in this question as cubic feet)
