how much grain can a silo hold if it has a cylinder base with a radius of 8 ft and height of 12 feet, plus a cone top with a radius of 8 ft and a height of 6 ft? (Use 3.14 for pi)
+9479 First let's find just the volume of the cylinder.
cyl. volume = (area of base) * (height)
cyl. volume = (3.14 * 82) * (12)
cyl. volume = 3.14 * 64 * 12
cyl. volume = 2,411.52 cubic feet
Second let's find just the volume of the cone.
cone volume = (1/3) * (area of base) * (height)
cone volume = (1/3) * (3.14 * 82) * (6)
cone volume = (1/3) * 3.14 * 64 * 6
cone volume = 401.92 cubic feet
Third let's add the volume of the cylinder and the volume of the cone together.
2,411.52 cubic feet + 401.92 cubic feet = 2,813.44 cubic feet
It can hold 2,813.44 cubic feet of grain. :)
