Answer: π (2ft)² ( 8ft) + 1/3 π (2ft)² (9.5ft-8ft)
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the circular prism and the cone that forms the silo.
Volume of the circular prism (p) = area of the circular base x height of the prism.
Area of the circular base= π r^2
Since:
Diameter= 2 radius
4 = 2r
4/2 = r
r= 2
Back with the area:
Area of the circular base= π 2^2
Back with the volume formula:
p = area of the circular base x height of the prism.
p = π 2^2 x 8
Next, we have to calculate the volume of the cone (c)=
Volume of a cone = 1/3 π r²h
The radius of the cone is the same as the radius of the cylinder, and the height of the cone is equal to the total height of the silo minus the height of the cylinder part.
c = 1/3 π 2² (9.5-8)
Adding both volumes (cylinder and cone) we obtain the volume of the silo:
Volume of the silo: π 2² x 8 + 1/3 π 2² (9.5-8)
V = π (2ft)² ( 8ft) + 1/3 π (2ft)² (9.5ft-8ft)
