Final answer:
The flow rate of water is calculated by multiplying the cross-sectional area of the faucet's opening, found using the formula A = πr², by the velocity of the water. The diameter given is 1.80 cm, which means the radius is 0.90 cm. After the calculation, one can find the correct flow rate in cm³/s.
Step-by-step explanation:
The question involves determining the flow rate of water from a faucet, which is an application of the principles of fluid dynamics in Physics. To calculate the flow rate in cm³/s, we first find the cross-sectional area of the faucet's opening and then multiply by the velocity of the water.
The formula for the cross-sectional area, A, of a circle is A = πr², where r is the radius of the circle. Given that the diameter is 1.80 cm, the radius is half of that, which is 0.90 cm. So, A = π * (0.90 cm)².
The flow rate, Q, is then calculated by multiplying the cross-sectional area by the velocity, v, of the water stream. Q = A * v. After converting the velocity to cm/s and performing the multiplication, we find the flow rate in cm³/s.