SOLUTION: Can you please explain and help me solve this problem: A circular garden has a diameter of 20 feet and is surrounded by a concrete border that has a width of three feet and a dept

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Question 846648: Can you please explain and help me solve this problem:
A circular garden has a diameter of 20 feet and is surrounded by a concrete border that has a width of three feet and a depth of 6 inches. What is the volume of concrete in the path? Use 3.14 for pi.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of the garden is +20%2F2+=+10+ ft
The area of the garden is:
+A%5B1%5D+=+pi%2Ar%5E2+
+A%5B1%5D+=+3.14%2A10%5E2+
+A%5B1%5D+=+314+ ft2
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The area of the border plus the garden is:
+A%5B2%5D+=+3.14%2A%28+10%2B3+%29%5E2+
+A%5B2%5D+=+3.14%2A169+
+A%5B2%5D+=+530.66+
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The area of the border is:
+A%5B2%5D+-+A%5B1%5D+=+530.66+-+314+=+216.66+ ft2
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The volume of concrete in the border is:
+V+=+216.66%2A.5+ ( 6 in = .5 ft )
+V+=+108.33+ ft3
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