a cylindrical pipe with diameter 32cm discharges water at a rate of 360cms Find the volume of water discharged in 30 seconds giving your answer to the nearest cm cubed

To find the volume of water discharged in 30 seconds, we need to find the cross-sectional area of the pipe and multiply it by the rate of discharge.

The diameter of the pipe is given as 3.2 cm, so the radius (r) is half of that, which is 1.6 cm.

The cross-sectional area of the pipe (A) can be calculated using the formula for the area of a circle: A = πr^2.

Substituting the value of the radius, we get: A = π(1.6 cm)^2 = 8π cm^2.

The rate of discharge is given as 360 cm/s.

To find the volume of water discharged in 30 seconds, we multiply the cross-sectional area by the rate of discharge and the time: Volume = A * rate * time.

Substituting the values, we get: Volume = 8π cm^2 * 360 cm/s * 30 s.

Calculating this expression gives us: Volume ≈ 27,163 cm^3.

Thus, the volume of water discharged in 30 seconds is approximately 27,163 cm^3