Question

Geometry Question. Large point value.

Answer 1

`\large\boxed{\pi(2ft)^2(8.5ft)+(1)/(3)\pi(2ft)^2(13ft-8.5ft)}`

Explanation:

The formula of a volume of a cylinder:

`V=\pi r^2H`

The formula of a volume of a cone:

`V=(1)/(3)\pi r^2H`

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:

`V=V_(cylinder)+V_(cone)`

Substitute:

`V=\pi(2ft)^2(8.5ft)+(1)/(3)\pi(2ft)^2(13ft-8.5ft)`