Question

A cylindrical vessel of base radius 1 m and height 2m is completely filled with liquid of density 2 x 10 ${}^3$ kg/m${}^3$. Thrust at the bottom =3 x 10${}^3$, Ignore the atmospheric pressure and find the pressure exerted by the water at the bottom of the cylinder.

• A. 400.90 Pa
• B. 955.40 Pa
• C. 880.60 Pa
• D. 777.70 Pa

Answer 1

The correct option is B

955.40 Pa

$Pressure=\frac{Thrust}{Area}$

Area= π x r${}^2$ = π x 1${}^2$ = 3.14 m ${}^2$

Thrust = 3 x 10${}^3$ N

$Pressure=\frac{3\times {10}^3}{3.14}$ =955.4 Pa