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?
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Volume = 3*4*3 = 36 cubic feet
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For the cone:
{{{Vol = pi*r^2*h/3}}}
r = h
{{{Vol = pi*h^3/3 = 36}}}
Solve for h.