SOLUTION: A silo, which is in the shape of a cylinder, is 16 ft in diameter and has a height of 60 ft. The silo is one-third full. Find the volume of the portion of the silo that is not bein

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Question 1058679: A silo, which is in the shape of a cylinder, is 16 ft in diameter and has a height of 60 ft. The silo is one-third full. Find the volume of the portion of the silo that is not being used for storage. Round to the nearest hundredth.


Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The volume of %281%2F3%29%2Api%2A%2816%2F2%29%5E2%2A60 cubic feet is full.

The volume of %282%2F3%29%2Api%2A%2816%2F2%29%5E2%2A60 cubic feet is free.


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The total volume of the silo is pi*r^2 h, where r is the radius (8 ft) and h is the height 60 feet.
This is pi*64*60=12,063.7 ft^3,
1/3 of the volume is used so 2/3 is not being used.
2/3*(12,063.715)=8042.48 ft^3 are not being used, rounding at the end.