Water flows through a 3cm
diameter pipe at the rate of 3 meters/second. How many cm3 of
water flow through the pipe in
one second?
A. 450 cm3
/S
B. 900 cm3
/S
C. 225 cm3
/S
D. 2121 cm3
/S
To find the volume of water flowing through the pipe in one second, we need to calculate the cross-sectional area of the pipe and multiply it by the velocity of the water.
The diameter of the pipe is 3 cm, so the radius is half of that, or 1.5 cm. The formula for the area of a circle is A = πr^2, so the area of the pipe's cross-section is π(1.5 cm)^2 = 7.065 cm^2.
The velocity of the water is given as 3 meters/second, which is equal to 300 cm/second.
To find the volume of water flowing through the pipe in one second, we multiply the cross-sectional area by the velocity: 7.065 cm^2 * 300 cm/second = 2119.5 cm^3.
Therefore, the correct answer is D. 2121 cm3/S.
To calculate the volume of water that flows through the pipe in one second, we need to find the cross-sectional area of the pipe and multiply it by the velocity of water.
First, we find the radius of the pipe by dividing its diameter (3 cm) by 2:
radius = diameter / 2 = 3 cm / 2 = 1.5 cm
Next, we calculate the cross-sectional area of the pipe using the formula for the area of a circle:
area = π * radius^2
area = 3.14 * (1.5 cm)^2
area ≈ 7.065 cm^2
Now, we multiply the area by the velocity of water (3 m/s) to find the volume of water flowing through the pipe in one second:
volume = area * velocity
volume = 7.065 cm^2 * 3 m/s
volume = 21.195 cm^3/s
The correct answer is D. 2121 cm3/s (rounded to the nearest whole number).