A Twisted Solid A square of side length $s$ lies in a plane perpendicular to a line $L .$ One vertex of the square lies on $L .$ As this square moves a distance $h$ along $L,$ the square turns one revolution about $L$ to generate a corkscrew-like column with square cross sections. (a) Find the volume of the column. (b) Writing to Learn What will the volume be if the square turns twice instead of once? Give reasons for your answer.
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The side length of the square at this height is still $s$. Let's take a small height $\Delta x$ of this section. The volume of this small section can be approximated as the area of the square cross-section times the height $\Delta x$. So, the volume of this small Show more…
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A twisted solid A square of side length $s$ lies in a plane perpendicular to a line $L .$ One vertex of the square lies on $L .$ As this square moves a distance $h$ along $L,$ the square turns one revolution about $L$ to generate a corkscrew-like column with square cross-sections. a. Find the volume of the column. b. What will the volume be if the square turns twice instead of once? Give reasons for your answer.
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