Problem Solving

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