SOLUTION: An ice cream cone is filled halfway to the top. The radius of the filled part is half the radius at the top. What fraction of the cone’s volume is filled?

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Question 1064784: An ice cream cone is filled halfway to the top. The radius of the filled part is half the radius at the top. What fraction of the cone’s volume is filled?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of cone at capacity: +V+=+%28pi%29r%5E2%2Ah%2F3+
So for the half filled cone, call it W: +W+=+%28pi%29%28r%2F2%29%5E2%2A%28%28h%2F2%29%2F3%29+
++W+=+%28pi%29r%5E2%2Ah%2F3%2A%281%2F4%29%281%2F2%29+
+W+=++%281%2F8%29%28%28pi%29r%5E2%2Ah%2F3%29+
++W+=+%281%2F8%29V+
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Ans: highlight%281%2F8%29 of the cone's volume is filled
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