Question

Workers on a factory floor are painting one side of a circular discs that will be placed on an assembly line. For every gallon of paint, a worker can paint an area that measures 1256 ft.². If each disc has a radius of 2 feet, how many disc can they paint with 1 gallon of paint? Use 3.14 for pi

Answer 1

Given:

Workers on factory floor are painting one side of a circular discs that will placed on an assembly line. For every gallon of paint, a worker can paint an area that measures 1256 ft.². Each disc has a radius of 2 feet.

Required:

How many disc can they paint with 1 gallon of paint?

Explanation:

We have radius of disc 2 feet and

$Area\text{ of disc = }\pi r^2$

Now, given every gallon of paint, a worker can paint an area that measures 1256 ft square.

So, with 1 Gallon of paint no. of discs can be paint is

$\begin{gathered} =\frac{1256}{3.14\times4} \\ =\frac{1256}{12.56} \\ =100 \end{gathered}$

Answer:

Hence, 100 discs can be paint with 1 gallon.