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Write True or False and justify your answer in each of the following:
If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.

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AI Generated Solution

To determine whether the statement is true or false, we need to analyze the relationship between the radius, height, and curved surface area of a cylinder. ### Step-by-Step Solution: 1. **Understand the Curved Surface Area Formula**: The formula for the curved surface area (CSA) of a cylinder is given by: \[ \text{CSA} = 2\pi rh ...
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