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How does the height change if the radius is doubled? - Answers
If the radius of a cylinder is doubled while keeping the volume constant, the height must decrease to accommodate the increased cross-sectional area. Since the volume of a cylinder is calculated as ( V = \pi r^2 h ), doubling the radius (to ( 2r )) results in an area increase by a factor of four (( \pi (2r)^2 = 4\pi r^2 )). To maintain the same volume, the height must be reduced to one-fourth of the original height.
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How does the height change if the radius is doubled? - Answers
If the radius of a cylinder is doubled while keeping the volume constant, the height must decrease to accommodate the increased cross-sectional area. Since the volume of a cylinder is calculated as ( V = \pi r^2 h ), doubling the radius (to ( 2r )) results in an area increase by a factor of four (( \pi (2r)^2 = 4\pi r^2 )). To maintain the same volume, the height must be reduced to one-fourth of the original height.
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How does the height change if the radius is doubled? - Answers
If the radius of a cylinder is doubled while keeping the volume constant, the height must decrease to accommodate the increased cross-sectional area. Since the volume of a cylinder is calculated as ( V = \pi r^2 h ), doubling the radius (to ( 2r )) results in an area increase by a factor of four (( \pi (2r)^2 = 4\pi r^2 )). To maintain the same volume, the height must be reduced to one-fourth of the original height.
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