Given:
[tex]\begin{gathered} \text{Diameter}=2.5 \\ Rolls=1000 \end{gathered}[/tex]Circumference of circle:
[tex]=2\pi r[/tex]One revolutions is equal to circumference.
Let "n" number of revolution
so
[tex]n\times2\pi r=1000[/tex]Radius of circle is:
[tex]\begin{gathered} r=\frac{d}{2} \\ d=2.5 \\ so\colon \\ r=\frac{2.5}{2} \end{gathered}[/tex][tex]\begin{gathered} 2\pi rn=1000 \\ 2\pi\frac{2.5}{2}\times n=1000 \\ 2.5\pi n=1000 \\ n=\frac{1000}{2.5\pi} \\ n=\frac{1000}{7.854} \\ n=127.32 \\ n=127 \end{gathered}[/tex]So total 127 revolution to the drum.
