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7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

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The area of the sphere is given by the formula ...

A = 4πr²

Solving for r, we find ...

A/(4π) = r²

√(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

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volume

The volume formula is ...

V = 4/3πr³

Using the found radius, we find the volume to be ...

V = 4/3π(18 in)³ = 4/3(5832)π in³

V = 7776π in³
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