How do you find the rate of change of depth?

How do you find the rate of change of depth?

We are given that the rate of change of depth (dh/dt) is 10m/s, and that the container is a cuboid with dimensions of 50x50xh m. We want dV/dt. We have dh/dt, so if we write this out we know that dV/dt = (dh/dt)(some other derivative).

How do you determine the work done in emptying a tank?

In other words, follow these steps:

1. Find density and volume, then use them to calculate mass.
2. Multiply mass by the gravitational constant to find force.
3. Multiply force by distance to get work.

What is the formula to find the rate of change?

To find the average rate of change, we divide the change in y (output) by the change in x (input).

How do you find the rate of change for a cylinder?

Rate of change of volume of cylinder with respect to surface area

1. Formulas: S = 2πrh + 2πr^2.
2. Steps: dS/dt = 9π <– given.
3. Equation: dV/dt = 2πrh dr/dt = 6πr dr/dt.
4. Solve for r at the instant: 6πr + 2πr^2 = 36π
5. Use r to find dr/dt in above equation: (2×3 + 3) dr/dt = 9/2.
6. Put values into equation: dV/dt = 6π(3) (1/2)

How to measure a tank’s capacity?

The first step is to measure the key dimensions of the tank. For round tanks find the diameter and length or height. For rectangular or cubes, find the length, width, and height. In order to calculate a tank’s capacity a formula for volume will be needed. The volume formula varies by the style of tank being measured.

How fast does water flow through a conical water tank?

“Water is poured into the top of a conical tank at the constant rate of 1 cubic inch per second and flows out of an opening at the3 bottom at a rate of .5 cubic inches per second. The tank has a height of 4 inches, and a radius of 2 inches at the top.

What is the formula to calculate the volume of a tank?

Rectangular Tank Formula. tank volume = l × w × h. l = length w = width h = height