Geometry, Word Problems

A thin rectangular sheet of metal is $6$ inches wide and $10$ inches long. The sheet of metal is to be rolled into to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height. What is the volume of the largest possible cylinder?

A. $\dfrac{60}{\pi}$

B. $\dfrac{90}{\pi}$

C. $\dfrac{150}{\pi}$

D. $360 \pi$

E. $600 \pi$

The OA is C

Source: GMAT Prep

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