Numerical problem :

The dimensions of a certain water tank are 8m x 6m x 4m. What is the pressure at the bottom of the tank, if the tank is half filled?

I guess it is 4 m high??

if so the water is 2 m deep

the pressure is one atmosphere plus 1000 kg/m^3 * 9.81 m/s^2 * 2 m newtons per m^2 or Pascals

Didn't get anything about this

To find the pressure at the bottom of the tank, we'll need to know the density of water and the acceleration due to gravity.

1. Density of water (ρ): The density of water is typically around 1000 kg/m^3.

2. Acceleration due to gravity (g): The standard value for acceleration due to gravity is approximately 9.8 m/s^2.

Now, let's calculate the pressure at the bottom of the tank when it's half filled.

Step 1: Determine the height of the filled portion of the tank.
Given that the tank is half filled, the height of the filled portion will be half of the total height.
Height of the filled portion = 4m ÷ 2 = 2m

Step 2: Calculate the pressure using the formula:
Pressure (P) = density (ρ) x acceleration due to gravity (g) x height
P = 1000 kg/m^3 x 9.8 m/s^2 x 2m

Step 3: Calculate the pressure at the bottom of the tank by simplifying:
P = 19600 kg*m^2/s^2

Therefore, the pressure at the bottom of the tank, when it's half-filled, is 19600 kg*m^2/s^2.

To find the pressure at the bottom of the tank, we need to determine the weight of the water above it and divide it by the area of the bottom.

First, let's calculate the weight of the water. We know that the tank is half-filled, so the height of the water column above the bottom is half of the tank's height, which is 4m/2 = 2m.

The weight of the water can be calculated using the formula:
Weight = Density x Volume x Gravity

The density of water is typically taken as 1000 kg/m^3, and the acceleration due to gravity is approximately 9.8 m/s^2.

The volume of the water can be calculated by multiplying the area of the base of the tank by the height of the water column:
Volume = Area x Height

The area of the base of the tank is 8m x 6m = 48m^2.

Substituting the values into the formula:
Volume = 48m^2 x 2m = 96m^3

Now we can calculate the weight of the water:
Weight = 1000 kg/m^3 x 96m^3 x 9.8 m/s^2 = 940,800 Newtons

Finally, to find the pressure at the bottom of the tank, we divide the weight by the area of the bottom of the tank:
Pressure = Weight/Area

The area of the bottom of the tank is 8m x 6m = 48m^2.

Substituting the values into the formula:
Pressure = 940,800 N / 48m^2 = 19,600 Pascals (Pa)

So, the pressure at the bottom of the tank, when it is half-filled, is 19,600 Pa.