The formula for the volume \( V \) of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder. To understand this formula informally, consider the base of the cylinder as a circle with area \( \pi r^2 \), which accounts for the space within the circular boundary. By stacking this circular base up to the height \( h \), you essentially create a three-dimensional shape that extends this area over the height. Thus, multiplying the area of the base by the height gives you the total volume, making intuitive sense that the more height you have, the more of this circular area you can fit inside the cylinder.
What is the formula for the volume of a cylinder with radius r and height h? In 3–5 sentences, describe an informal argument for this volume formula.(4 points)
in a 3-5 sentences paragrah
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