Calculate the depth of a well if the pressure at its bottom is 15 times as that at a depth of 3 metres. (Atmospheric pressure is 10 metre of water)

Sure, let's solve this step by step:

1. First, we need to understand that the pressure at a certain depth in a fluid is given by the equation P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height (or depth in this case).

2. In this case, we know that the pressure at the bottom of the well is 15 times the pressure at a depth of 3 metres. So, we can write this as: P_bottom = 15 * P_3m.

3. We also know that the pressure at a depth of 3 metres is equal to the atmospheric pressure, which is given as 10 metres of water. So, P_3m = 10 metres of water.

4. Substituting P_3m into our equation from step 2, we get: P_bottom = 15 * 10 metres of water = 150 metres of water.

5. Therefore, the depth of the well is 150 metres.