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Question 233498: This problem I have seemed simple to do, but the only thing is is that I forgot how to convert and find the volume, even though they give you the formula's. The following problem is the one that I'm stuck on:
"Find the volume of a Styrofoam cup if the diameter of the top is 3 inches, the diameter of the base is 2 inches, and the height is 4 inches. The volume of a cone is given by the formula V = (1/3)(3.14)r^2h."
(Just to let you know the "^2" part just means squared. My computer doesn't have a key for make a squared 2 above a letter or number. And I also didn't have a pie button either, so I just typed the usual form of pie.) But what I was stuck on was find the volume, like you have to for the problem. If anyone knows how to go about solving this problem please oblige!! I would really appreciate it if anyone knew how to go about doing it. Thank you in advance!
Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website! Your formula is for a Right Circular cone, you are solving a Frustum of a Right Circular cone. The part of a right circular cone between the base and a plane parallel to the base whose distance from the base is less than the height of the cone.
V=Pi(R^2+rR+r^2)h/3
V=3.14(1.5^2+1*1.5+1^2)h/3
V=3.14(2.25+2+1)4/3
V=3.14*5.25*4/3
V=65.94/3
V=21.98 cu in
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