Answer:
[tex]\large\boxed{\pi(2ft)^2(8.5ft)+\dfrac{1}{3}\pi(2ft)^2(13ft-8.5ft)}[/tex]
Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius, H - height
We have in
cylinder:
r = 4ft : 2 = 2ft, H = 8.5ft
cone:
r = 4ft : 2 = 2ft, H = 13 ft - 8.5ft
The volume of the silo:
[tex]V=V_{cylinder}+V_{cone}[/tex]
Substitute:
[tex]V=\pi(2ft)^2(8.5ft)+\dfrac{1}{3}\pi(2ft)^2(13ft-8.5ft)[/tex]
