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First we have to find the radius:

4*pi*radius2 = 78.5 square yards

Divide both sides by 4*pi:

radius2 = 6.246831516

Square root both sides:

radius = 2.499366223 yards

Volume of a sphere = 4/3*pi*radius3

Volume = 65.40008284 cubic yards

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Q: What is the volume of a sphere with a surface area of 78.5 yards squared?
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