Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:
[tex]V = \pi r^2h + \frac{1}{3} \pi rH[/tex]
where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:
[tex]V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3[/tex]
The volume of the silo is 5127079.21 cubic feet.
