How many liters of water will a cylindrical pipe hold if it is 1 m long and 7 m in diameter?
The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the diameter of the pipe is 7 m, the radius would be half of the diameter, so the radius (r) = 7/2 = 3.5 m.
The height (h) of the cylinder is 1 m.
Now, plug the values into the formula:
V = π(3.5)^2(1)
V ≈ 38.484 cubic meters
Since 1 cubic meter is equal to 1000 liters, the pipe will hold approximately 38,484 liters of water.