Physics - Fluid Question with Solution | TestHub

Pressure at neck of bottle $p_1=\frac{F_1}{A_1}=\frac{F_1}{\pi r_1^2}$ Similarly, pressure at bottom of bottle $p_2=\frac{F_2}{A_2}=\frac{F_2}{\pi r_2^2}$ According to Pascal's law, liquids transmit pressure equal in all directions. $\therefore$ $\begin{array}{rl}\frac{F_1}{\pi r_1^2}& =\frac{F_2}{\pi r_2^2}\\ \frac{12}{\pi (3{)}^2}& =\frac{F_2}{\pi (15{)}^2}\\ F_2& =\frac{12\times 15\times 15}{3\times 3}\\ F_2& =300\mathrm{N}\end{array}$