SOLUTION: You are filling paper cones with popcorn for a party. The radius of each cone is 8 centi. and the height is 15 centi. Find the amount of popcorn needen to fill the paper cone to th

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: You are filling paper cones with popcorn for a party. The radius of each cone is 8 centi. and the height is 15 centi. Find the amount of popcorn needen to fill the paper cone to th      Log On

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Question 144690: You are filling paper cones with popcorn for a party. The radius of each cone is 8 centi. and the height is 15 centi. Find the amount of popcorn needen to fill the paper cone to the nearest cubic centi.


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Answer by solver91311(12126) About Me  (Show Source):
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The volume of a right circular cone is exactly 1/3 of the volume of the right circular cylinder with the same base radius and height. The volume of the cylinder is the area of the base times the height. The area of the base is the area of a circle with the given radius, namely pi%2Ar%5E2. That makes the volume of the cylinder pi%2Ar%5E2h, and the volume of the cone: %28pi%2Ar%5E2h%29%2F3. Plug in the numbers, do the arithmetic, and round to the nearest cc.