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. How can you find the volume of a hemisphere?

Answer 1

The volume of a hemisphere can be calculated using the formula V = (2/3)πr^3, where r is the radius of the hemisphere.

We know that the radius of the cylindrical portion of the grain silo is 10 feet, which means the radius of the hemisphere is also 10 feet. Therefore, the volume of the hemisphere can be calculated as:

V = (2/3)π(10)^3
V = (2/3)π(1000)
V = 666.67π cubic feet

Therefore, the volume of the hemisphere is approximately 666.67π cubic feet.