Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)
Step-by-step explanation:
The area of a circle can be calculate with this formula:
[tex]A=\pi r^2[/tex]
Where "r" is the radius of the circle.
We need to calculate the area of 8-cm pipe. In this case:
[tex]r=8cm[/tex]
Then, substituting the radius into the formula, we get:
[tex]A=\pi (8cm)^2\\\\A=201.06cm^2[/tex]
Now we must calculate the area of the two 4-cm pipes.
Since they are two pipes, the formula is:
[tex]A=2\pi r^2[/tex]
In this case:
[tex]r=4cm[/tex]
Then, substituting into the formula, we get:
[tex]A=2\pi (4cm)^2\\\\A=100.53cm^2[/tex]
Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:
One 8-cm pipe
