SOLUTION: The maximum volume of a cylinder cut from a wooden box whose length is 30cm and the cross section is a square whose each side is 14cm.Find the volume of the cylinder and the volume

Algebra ->  Surface-area -> SOLUTION: The maximum volume of a cylinder cut from a wooden box whose length is 30cm and the cross section is a square whose each side is 14cm.Find the volume of the cylinder and the volume      Log On


   



Question 1062181: The maximum volume of a cylinder cut from a wooden box whose length is 30cm and the cross section is a square whose each side is 14cm.Find the volume of the cylinder and the volume of the wood left over?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The largest area circle that fits in the
square cross section is:
+A+=+pi%2A%2814%2F2%29%5E2+
+A+=+49%2Api+
+A+=+153.938+ cm2
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The volume of the cylinder is:
+V+=+A%2A30+
+V+=+153.938%2A30+
+V+=+4618.14+ cm3
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The volume of wood left over is:
+14%5E2%2A30+-+4618.14+
+5880+-+4618.14+=+1261.86+ cm3
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check the math