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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.



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.



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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