SOLUTION: Sand piles up in the shape of a right circular cone whose radius equals its height. The sand comes from a full box with dimensions 3 ft by 4 ft by 3 ft. What is the height of the c

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Question 1047117: Sand piles up in the shape of a right circular cone whose radius equals its height. The sand comes from a full box with dimensions 3 ft by 4 ft by 3 ft. What is the height of the conical sand pile?
Answer by Alan3354(69443) About Me  (Show Source):
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Sand piles up in the shape of a right circular cone whose radius equals its height. The sand comes from a full box with dimensions 3 ft by 4 ft by 3 ft. What is the height of the conical sand pile?
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Volume = 3*4*3 = 36 cubic feet
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For the cone:
Vol+=+pi%2Ar%5E2%2Ah%2F3
r = h
Vol+=+pi%2Ah%5E3%2F3+=+36
Solve for h.