Final answer:
The level of water in a cone-shaped container rises unevenly because the area of the cone increases as the water level gets higher, meaning more water is needed to raise the level less as the container fills.
the correct answer is D. It rises unevenly.
Step-by-step explanation:
When water is being poured into a cone-shaped container, the water level rises unevenly, which is because the surface area of a cone increases as you move away from the point. Initially, when water is added near the tip of the cone, the height increases rapidly for a small volume of water, but as the container fills and the water level reaches the wider parts, a much larger volume of water adds a smaller increase in height due to the larger surface area.
This uneven rise can be understood better through the principles involved in Bernoulli's equation and the continuity equation. Bernoulli's equation tells us that in a streamline flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. Applied to a cone filling with water, the water at the bottom has higher pressure and potential energy compared to the water near the top. And from the continuity equation, if we assume a constant flow rate of water being poured, the cross-sectional area times the velocity of the water must remain the same. As the area of the cone's surface increases, the height to which the water rises for each incremental volume added decreases.