Pile of sand

A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand.

Correct answer:

V =  3179.8926 ft3

Step-by-step explanation:

s=20 ft D=31 ft  r=D/2=31/2=231=15.5 ft  S=π r2=π 2312=3.1416 15.52754.7676 ft2  s2=h2+r2  h=s2r2=20215.5212.6392 ft  V=31 S h=31 754.7676 12.6392=3179.8926 ft3

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