Answer to Question #278058 in Geometry for mhie

Question

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?

Answer 1

Volume of a circular cone is;

$πr^2\frac{h}{3}$

$r=6tan45°=6$

$\therefore V=π×6^2\times\frac{6}{3}$

$=226.29$ cubic feet