Q:

Which pipe configuration can deliver more water toresidents, one 8-cm pipe or two 4-cm pipes? Show yourwork and explain your reasoning.4 cm8 cm4 cm

Accepted Solution

A:
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