SOLUTION: A grain silo is in the shape of a cylinder. The silo has a diameter of 12 feet and a height of 20 feet. Part A: How many cubic feet of grain can fit into this silo? Part

Algebra ->  Volume -> SOLUTION: A grain silo is in the shape of a cylinder. The silo has a diameter of 12 feet and a height of 20 feet. Part A: How many cubic feet of grain can fit into this silo? Part       Log On


   

Question 1079432: A grain silo is in the shape of a cylinder. The silo has a diameter of 12 feet and a height of 20 feet.
Part A:
How many cubic feet of grain can fit into this silo?
Part B:
Explain how you determined your answer.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Since the end (base) of a cylinder is a circle, the area of that circle is given by the formula: area of the base B=pi%2Ar%5E2
Multiplying by the height h we get volumeV=pi%2Ar%5E2%2Ah
where:
pi is Pi, approximately 3.14
r is the radius of the circular end of the cylinder
h height of the cylinder
The radius r of a cylinder is the radius of a base. If you are given the diameter instead, remember to halve it.
you are given:
a diameter of 12ft, which means that radius is 6ft
and a height of h=20ft
Part A:

V=pi%2Ar%5E2%2Ah
V=3.14%2A%286ft%29%5E2%2A20ft
V=3.14%2A36ft%5E2%2A20ft
V=3.14%2A720ft%5E3
V=2260.8ft%5E3
the number of cubic feet of grain that can fit into this silo is 2260.8ft%5E3
Part B:
Explain how you determined your answer.
the number of cubic feet of grain equals to volume of the silo