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A spherical balloon is inflated until its volume becomes 27 times its original volume. How much does its surface area increase?

The volume of a cube with positive side length is numerically equal to the surface area of a cube (though they will have different units). What is the volume of the cube?

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Brilli the ant is playing with a ball of radius \(R\), which is a positive integer. Given that the surface area and volume of the ball are \(N\pi \) and \(M\pi\), where \(N\) and \(M\) are 4-digit integers, what is \(R\)?

**Details and assumptions**

The number \(12=012\) is a 2-digit number, not a 3-digit number.

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