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A dump truck delivered sand to a construction site. The sand formed a conical pile with a diameter of  8 feet and a height that was 75% of the diameter. How many cubic feet of sand were in the pile? Express your answer in terms of pi.

 May 22, 2020
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The formula for the volume of a cone is:  V  =  (1/3)·pi·r2·h

 

The diameter is 8 feet, so the radius is 4 feet.

The height is 75% of the diameter:  75% of 8 feet =  0.75 x 8 feet  =  6 feet.

 

V  =  (1/3)·pi·r2·h  =  (1/3)·pi·42·6  =  32 pi  cubic feet.

 
 May 22, 2020

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