A beaker of circular cross-section of radius 4 cm is filled with mercury up to a height of 10 cm. Find the force exerted by the mercury on the bottom of the beaker. The atmospheric pressure `=10^5Nm^-2`. Density of mercury `=13600 kgm^-3. Take g10ms^-2`

Explanation

To find the force exerted by the mercury on the bottom of the beaker, we can follow these steps:

### Step 1: Calculate the Pressure at the Bottom of the Beaker
The pressure at the bottom of the beaker is the sum of the atmospheric pressure and the pressure due to the mercury column above it.

1. **Atmospheric Pressure (P_atm)**: Given as \( 10^5 \, \text{N/m}^2 \).
2. **Pressure due to Mercury (P_mercury)**: This can be calculated using the formula:
\[
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