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The formula for volume of a sphere is:

V = (4/3)(pi)(r3)

And since the radius(r) is half the length of the diameter we get:

r = 1/2 in

Plug in 1/2 for r and we get

V = (4/3)(pi)(1/2)3

V = (4/3)(pi)(1/8)

V = (1/6)(pi) in3

-or-

V = (pi/6) in3

-or-

V = 0.523598776 in3

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