Final answer:
The flow rate of water through the pipe is 1.5072 m^3/s.
Step-by-step explanation:
The flow rate of water through a pipe is given by the equation:
Q = A * v
where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the water.
In this question, the pipe has a diameter of 80 cm, which means the radius is 40 cm or 0.4 m. The cross-sectional area of the pipe is given by:
A = π * r2
Plugging in the values, we get:
A = 3.14 * (0.4)^2
A = 0.5024 m2
The velocity of the water is given as 3 m/s.
Using the formula for flow rate, we can calculate it:
Q = A * v
Q = 0.5024 * 3
Q = 1.5072 m3/s
So, the flow rate of water in the pipe is approximately 1.5072 m3/s.