A wider tube drains faster than a taller one due to the larger cross-sectional area, which allows more fluid to flow through. Torricelli's Theorem states that the speed of fluid through a constriction increases by a factor equal to the square of the factor by which the diameter decreases.
Step-by-step explanation:
When comparing two pipes with the same volume and hole size, the wider pipe will drain faster than the taller one. This is because the wider pipe has a larger cross-sectional area, allowing more fluid to flow through.
According to Torricelli's Theorem, the speed of fluid through a constriction increases by a factor equal to the square of the factor by which the diameter decreases. Therefore, when the wider pipe narrows down to the same hole size as the taller pipe, the fluid speed in the wider pipe will be greater.
For example, if the wider pipe has a radius of 2 cm and narrows down to a hole size of 1 cm, while the taller pipe has a radius of 1 cm, the fluid speed in the wider pipe will be 4 times greater than the fluid speed in the taller pipe.
The probable question can be: Which drains faster, a wider tube or a taller one, given the same volume and hole size? Assume a small hole approximation.