Question

A drum with a diameter of 2.5 feet rolls 1000 feet how many revolutions to the drum make round to the nearest whole number?

Answer 1

Given:

`\begin{gathered} \text{Diameter}=2.5 \\ Rolls=1000 \end{gathered}`

Circumference of circle:

`=2\pi r`

One revolutions is equal to circumference.

Let "n" number of revolution

so

`n*2\pi r=1000`

Radius of circle is:

`\begin{gathered} r=(d)/(2) \\ d=2.5 \\ so\colon \\ r=(2.5)/(2) \end{gathered}`

`\begin{gathered} 2\pi rn=1000 \\ 2\pi(2.5)/(2)* n=1000 \\ 2.5\pi n=1000 \\ n=(1000)/(2.5\pi) \\ n=(1000)/(7.854) \\ n=127.32 \\ n=127 \end{gathered}`

So total 127 revolution to the drum.