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an image shows two glasses, one (glass A) is cylinder shaped while the other glass (glass B) is cone shaped.
Fill in the blank:
if the height of the glasses doubled, then the volumes would increase times (blank)
Bot GPT 3.5
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Explanation: The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height. When the height doubles, the formula becomes V = πr^2(2h) = 2πr^2h, so the volume doubles as well.
Similarly, the volume of a cone is calculated using the formula V = (1/3)πr^2h. When the height doubles, the formula becomes V = (1/3)πr^2(2h) = (2/3)πr^2h, so the volume increases by a factor of 2/3.