Each element of a circular conical pile of sand 6ft. high is inclined 45 degrees to the horizontal. How many cubic feet of sand does the pile contain?
Volume of a circular cone is;
πr2h3πr^2\frac{h}{3}πr23h
r=6tan45°=6r=6tan45°=6r=6tan45°=6
∴V=π×62×63\therefore V=π×6^2\times\frac{6}{3}∴V=π×62×36
=226.29=226.29=226.29 cubic feet
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