.. which would imply a depth of what, 216 cm3? Anything strike you as odd about that?lionely said:All I know is that dV/dt = 18cm3/min
so shouldn't the depth after 12 mins be 12 * dv/dt?
No, I meant depth measured in cm3 (!)lionely said:Well yeah that is way too much :S
The depth of the water is the height of the surface measured from the point of the cone. So it's a distance, not a volume, not a rate. dh/dt would be the rate of change of the depth.lionely said:Depth would be dh/dt, h being that height
The water depth in an inverted cone can be found by using the formula D = (3/4) * h, where D is the depth and h is the height of the cone. This formula assumes that the top of the cone is open and the bottom is closed. If the cone is not a perfect shape, this formula may not be accurate.
No, a ruler cannot be used to accurately measure the water depth in an inverted cone. This is because the water level in the cone would not be flat and the ruler may not reach the bottom of the cone. It is important to use the correct formula and measurements to accurately find the water depth.
The shape of the inverted cone can greatly affect the water depth. If the cone is not a perfect shape, the formula D = (3/4) * h may not be accurate. Additionally, if the cone is not symmetrical, the water level may not be even and could result in an inaccurate measurement.
No, it is not possible to accurately find the water depth in an inverted cone without using a formula. It is important to use the correct formula and measurements to ensure an accurate result. Without a formula, the measurement may be incorrect and could lead to inaccurate data or conclusions.
To ensure an accurate measurement of the water depth in an inverted cone, it is important to use the correct formula and measurements. Additionally, it is important to make sure the cone is a perfect shape and that the water level is even. Using multiple measurements and averaging the results can also help to increase accuracy.