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What is the volume of the cylinder?

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What is the volume of the cylinder?

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A four inch by four inch square sheet of paper was foled to form a cylinder, as shown above. What is the volume of the cylinder?

A. 16/π
B. 16
C. 64/π
D. 16π
E. 64π

The OA is A.

I know that the volume of a cylinder can be determine by,
$$A_{cylinder}=\pi\cdot r^2\cdot h$$
But, I don't know how can I get the value of r.

I appreciate if any expert explain this PS question for me. Thank you so much.

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AAPL wrote:


A four inch by four inch square sheet of paper was foled to form a cylinder, as shown above. What is the volume of the cylinder?

A. 16/π
B. 16
C. 64/π
D. 16π
E. 64π

The OA is A.

I know that the volume of a cylinder can be determine by,
$$A_{cylinder}=\pi\cdot r^2\cdot h$$
But, I don't know how can I get the value of r.

I appreciate if any expert explain this PS question for me. Thank you so much.
Imagine rolling that square of paper into the cylinder. The top side of the square will be the same as the circumference of the circle once you form the cylinder. If the circumference of the circle is 4, then we can simply solve C = 2πr = 4 --> r = 2/π. From there, it's just plug and chug with the cylinder formula.

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