A rectangular sheet of perimeter $33 \mathrm{~cm}$ and dimensions $x \mathrm{~cm}$ by $y \mathrm{~cm}$ is to be rolled into a cylinder as shown in part (a) of the figure. What values of $x$ and $y$ give the largest volume?
A) $x=12 \mathrm{~cm} ; y=\frac{9}{2} \mathrm{~cm}$
B) $x=10 \mathrm{~cm} ; y=\frac{13}{2} \mathrm{~cm}$
C) $x=13 \mathrm{~cm} ; y=\frac{7}{2} \mathrm{~cm}$
D) $x=11 \mathrm{~cm} ; y=\frac{11}{2} \mathrm{~cm}$

Question

A rectangular sheet of perimeter $33 \mathrm{~cm}$ and dimensions $x \mathrm{~cm}$ by $y \mathrm{~cm}$ is to be rolled into a cylinder as shown in part (a) of the figure. What values of $x$ and $y$ give the largest volume? 
A) $x=12 \mathrm{~cm} ; y=\frac{9}{2} \mathrm{~cm}$ 
B) $x=10 \mathrm{~cm} ; y=\frac{13}{2} \mathrm{~cm}$ 
C) $x=13 \mathrm{~cm} ; y=\frac{7}{2} \mathrm{~cm}$ 
D) $x=11 \mathrm{~cm} ; y=\frac{11}{2} \mathrm{~cm}$

Quizplus · Accepted Answer

The Answer of A rectangular sheet of perimeter $33 \mathrm{~cm}$ and dimensions $x \mathrm{~cm}$ by $y \mathrm{~cm}$ is to be rolled into a cylinder as shown in part (a) of the figure. What values of $x$ and $y$ give the largest volume? 
A) $x=12 \mathrm{~cm} ; y=\frac{9}{2} \mathrm{~cm}$ 
B) $x=10 \mathrm{~cm} ; y=\frac{13}{2} \mathrm{~cm}$ 
C) $x=13 \mathrm{~cm} ; y=\frac{7}{2} \mathrm{~cm}$ 
D) $x=11 \mathrm{~cm} ; y=\frac{11}{2} \mathrm{~cm}$

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A Rectangular Sheet of Perimeter $33 \mathrm{~cm}$ And Dimensions $x \mathrm{~cm}$ By $y \mathrm{~cm}$