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In the formula for the volume of a cylinder, ( V = \pi r^2 h ), the radius is squared because the formula calculates the area of the circular base. The area of a circle is given by ( A = \pi r^2 ), which represents the space occupied by the circle. By multiplying this area by the height ( h ), you find the total volume of the cylinder, which is the area of the base extended through the height. Thus, squaring the radius is essential for determining the size of the base.

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5d ago

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