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)

Guest Mar 22, 2017

#1**+3 **

First let's find just the volume of the cylinder.

cyl. volume = (area of base) * (height)

cyl. volume = (3.14 * 8^{2}) * (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 * 8^{2}) * (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. :)

hectictar
Mar 22, 2017