Question

The area of base of a cylinder vessel is $300c{m}^2$. Water (density = $1000kg{m}^{-3}$) is poured into it up to a depth of $6cm$. ($g=10m{s}^{-2}$).Then find the pressure and thrust on the base.

• A. the pressure$=600Pa$
• B. thrust of water on the base$=18N$
• C. thrust of water on the base$=36N$
• D. the pressure$=1200Pa$

Answer 1

Answer: (A), (B)

the pressure$=600Pa$
thrust of water on the base$=18N$

(a) We, know that Pressure $=\rho \times g\times h$

where, $\rho =$ density =$1000kg{m}^{-3}$

$g=$ acceleration due to gravity $=10m{s}^{-2}$

$h=height=6cm=0.06m$

So, pressure $=1000\times 0.06\times 10=600Pa$

(b) Upthrust = Force exerted = Pressure \times Area

$=600\times 300\times {10}^{-4}=18N$