A rectangular piece of paper 16.5 cm x 7.1 cm is folded without overlapping to make a cylinder of height 7 cm. Find the volume of the cylinder.

Respuesta :

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Answer:

To find the volume of the cylinder created by folding the rectangular paper, you can use the formula:

\[ V = \pi r^2 h \]

where:

- \( r \) is the radius of the base of the cylinder.

- \( h \) is the height of the cylinder.

In this case, the height \( h \) is given as 7 cm. To find the radius \( r \), we can use the length of the paper.

\[ r = \frac{\text{width of the paper}}{2\pi} \]

Given the dimensions of the paper (16.5 cm x 7.1 cm), the width is 7.1 cm. Now, substitute these values into the formula to find the volume.