Responses
A cylinder is a stack of h squares, each with a thickness of one unit and an area of πr2
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A cylinder is a stack of h squares, each with a thickness of one unit and an area of πr2
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A cylinder is a stack of r circles, each with a thickness of one unit and an area of πr2
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A cylinder is a stack of r circles, each with a thickness of one unit and an area of πr2
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A cylinder is a stack of r squares, each with a thickness of one unit and an area of πrh
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A cylinder is a stack of r squares, each with a thickness of one unit and an area of πrh
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A cylinder is a stack of r circles, each with a thickness of one unit and an area of πrh
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1 answer
The best option that describes an informal argument for why the volume of a cylinder of radius r and height h is \( V = \pi r^2 h \) is:
A cylinder is a stack of h circles, each with a thickness of one unit and an area of \( \pi r^2 \).
This option correctly emphasizes that the volume of the cylinder can be thought of as the area of the circular base (which is \( \pi r^2 \)) multiplied by the height (h), resulting in the formula \( V = \pi r^2 h \).
