Upgrade to access all content for this subject

An object is submerged in a fluid of density $ρ$, at a depth $h$.

Which one of the following is a correct expression for the force due to gauge pressure acting on a circular area of the object with diameter $D$?

$\pi \rho ghD^{ 2 }$

$\dfrac { \pi \rho ghD^{ 2 } }{ 4 }$

$\dfrac { 4\rho gh }{ \pi D^{ 2 } }$

$\dfrac { \pi \rho hD^{ 2 } }{ 2 }$