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${}^3$. Ignore the atmospheric pressure and find the thrust at the bottom of the cylinder.

• A. 123.274 x 10${}^3$ N
• B. 132.274 x 10${}^3$ N
• C. 151.274 x 10${}^3$ N
• D. 110.274 x 10${}^3$ N

Answer 1

The correct option is A

123.274 x 10${}^3$ N

Thrust at the bottom = weight of the liquid = mass of the liquid x acceleration due to gravity.

Mass of the liquid = volume x density = π x r${}^2$ x h x ρ = π x 1${}^2$ x 2 x 2 x 10${}^3$ = 12.566 x 10${}^3$

Thrust = mass x g = 12.566 x 10${}^3$ x 9.81 =123.274 x 10${}^3$ N