From a piece of paper, Sam cuts a rectangle with a length that is 2 inches (in.) longer than the width. He tapes a straw to the long side of the rectangle. Holding the straw horizontally at one end, he twirls it, causing the rectangle to create the image of a solid figure. Which statement best describes the solid figure? a) A rectangular prism with a volume of w^{2\ }+\ 4w\ \ +4\ in^3w 2 +4w+4in 3 where w represents the width of the rectangle.
b) A rectangular prism with a volume of w^3+4w^{2\ }+4w\ in^3 w 3 +4w 2 +4win 3 where w represents the width of the rectangle.
c) A cylinder with a volume of \pi\left(w^3+2w^2\right)in^3π(w 3+2w 2)in 3 where w represents the width of the cylinder.
d) A cylinder with a volume of \frac{\pi\left(w^3+2w^2\right)}{3}i n^33π(w 3+2w 2 ) in 3 where w represents the width of the cylinder.