Question
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
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
Answers
GPT 3.5
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.
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.