Question

Geometry Question. Large point value.

Answer 1

Answer:

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

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

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:

$V=\pi(2ft)^2(8.5ft)+\dfrac{1}{3}\pi(2ft)^2(13ft-8.5ft)$