SOLUTION: A pile of gravel is in the shape of a cone. If the pile is 8 feet high, and the diameter of the pile is 10 feet,how many cubic feet of gravel are in the pile? (Hint:If the diamete

Algebra ->  Volume -> SOLUTION: A pile of gravel is in the shape of a cone. If the pile is 8 feet high, and the diameter of the pile is 10 feet,how many cubic feet of gravel are in the pile? (Hint:If the diamete      Log On


   

Question 712841: A pile of gravel is in the shape of a cone. If the pile is 8 feet high, and the diameter of the pile is 10 feet,how many cubic feet of gravel are in the pile?
(Hint:If the diameter is 10,what is the radius?)My answer is 279.3 cu ft. but the book answer key is 209.3 cu ft. am I wrong? yingyyl@earthlink.net
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A pile of gravel is in the shape of a cone. If the pile is 8 feet high, and the diameter of the pile is 10 feet,how many cubic feet of gravel are in the pile?
(Hint:If the diameter is 10,what is the radius?)My answer is 279.3 cu ft. but the book answer key is 209.3 cu ft. am I wrong? yingyyl@earthlink.net
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Vol+=+pi%2Ar%5E2%2Ah%2F3+=+pi%2A5%5E2%2A8%2F3+=+200pi%2F3
Vol =~ 209.44 cu ft

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

V = (pi*r^2*h)/3

V = (pi*5^2*8)/3

V = 200pi/3

V = 200*3.14/3

V = 209.333333333333

V = 209.3

So there are approximately 209.3 cubic feet of gravel in the pile.