Provide an appropriate response.The region bounded by the lines x = 2, x = 6, y = -2, and y = 1 is revolved about the y-axis to form a solid. Explain how you could use elementary geometry formulas to verify the volume of this solid.

What will be an ideal response?


The resulting solid is a cylindrical shell whose volume is given by V = ?h, where r1 is the outer radius, r2 is the inner radius, and h is the height. Since r1 = 6, r2 = 2 and h = 3, V = ?3 = 96?.

Mathematics

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A. 1
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C.
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A. ±34 B. ±17 C. ±19 D. ±18

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