A grain silo is a cylinder with a hemisphere on top. In the Happy Farms grain silo, the height of the cylindrical portion is 30 feet. The radius is 10 feet. The volume of a cylinder is given by V = πr2h. Give me a tutorial on how you would find the volume of a hemisphere

1 answer

To find the volume of a hemisphere, we can use the formula V = (2/3)πr3, where r is the radius of the hemisphere.

Since the hemisphere sits on top of the cylinder in the Happy Farms grain silo, the radius of the hemisphere is the same as the radius of the cylindrical portion, which is 10 feet.

Now we can plug in the values into the formula:

V = (2/3)π(10)3
V = (2/3)π(1000)
V = (2000/3)π
V ≈ 2094.4 cubic feet

Therefore, the volume of the hemisphere portion of the Happy Farms grain silo is approximately 2094.4 cubic feet.