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11 Edge 2023, thank the other person, they got it right :)
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The height of cylinder b is 11 centimeters.
To find the height of cylinder b, we can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that cylinder b has a volume of 176π cubic centimeters and we know the radius of cylinder a is 4 centimeters, we can substitute the values into the formula.
176π = π(4^2)h
To solve for h, we need to isolate it. We can divide both sides of the equation by π(4^2) to cancel out the π(4^2) on the right side.
176π / (π(4^2)) = h
This simplifies to:
176 / (4^2) = h
176 / 16 = h
11 = h
Therefore, the height of cylinder b is 11 centimeters.
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