Question

Which pipe configuration can deliver more water to

residents, one 8-cm pipe or two 4-cm pipes? Show your
work and explain your reasoning.
4 cm
8 cm
4 cm

Answer 1

Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)

Explanation:

The area of a circle can be calculate with this formula:

`A=\pi r^2`

Where "r" is the radius of the circle.

We need to calculate the area of 8-cm pipe. In this case:

`r=8cm`

Then, substituting the radius into the formula, we get:

`A=\pi (8cm)^2\\\\A=201.06cm^2`

Now we must calculate the area of the two 4-cm pipes.

Since they are two pipes, the formula is:

`A=2\pi r^2`

In this case:

`r=4cm`

Then, substituting into the formula, we get:

`A=2\pi (4cm)^2\\\\A=100.53cm^2`

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