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Question 134513: If you have a cylinder that is 3' wide by 6" deep, how many cubic feet of sand will it hold
thanks
Answer by nycsharkman(136)   (Show Source):
You can put this solution on YOUR website! If you have a cylinder that is 3' wide by 6" deep, how many cubic feet of sand will it hold?
The volume formula for a cylinder is:
V = πr^2h, where V = volume, π = 3.14, r = radius and h = height.
You are given a cylinder that is 3 inches wide. This tells me that the diameter of the cylinder is 3 inches and that half of 3 inches is the radius in this case. Why? A radius is 1/2 of the diameter length. This means that when you add two radius measures, you produce one diameter length. Is this clear?
What is 3 divided by 2? It is 1.5 inches. Our radius here is 1.5 inches.
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We are also given that this cylinder is 6 inches deep. We can consider the deepness of a cylinder as the height. So, our height is 6 inches.
We know that π = 3.14 in measure.
We are ready to plug this math information into the formula above and simplify.
We are looking for the volume of the cylinder. The volume indicates how much of something (in this case sand) a solid can hold.
V = 3.14(1.5)^2(6)
V = 3.14(2.25)(6)
V = 42.39
We can round off 42.39 to the nearest tenths place and we get
volume = 42.4 cubic inches as the amount of sand this cylinder can hold.
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