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Just as area is the numerical measure of a two-dimensional region, volume is the numerical measure of a three-dimensional solid. Most of us have computed volumes of solids by using basic geometric formulas. The volume of a rectangular solid, for example, can be computed by multiplying length, width, and height: V=lwh. The formulas for the volume of a sphere (V=\frac{4}{3}\pi {r}^{3}), a cone (V=\frac{1}{3}\pi {r}^{2}h), and a pyramid (V=\frac{1}{3}Ah) have also been introduced. Although some of these formulas were derived using geometry alone, all these formulas can be obtained by using integration.

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answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

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