# A cylinder of radius R is kept embedded along the wall of a dam as shown. Take density of water as #rho#. Take length as L. The force exerted by liquid on the cylinder in horizontal direction is [Neglecting atmospheric pressure]?

##

A) #2R^(2)rhogL#

B) #R^(2)rhogL#

C) #4R^(2)rhogL#

D) #1.61R^(2)rhogL#

A)

B)

C)

D)

##### 1 Answer

Aug 28, 2017

Average horizontal pressure on the surface of cylinder

#P_"ave"=rhogh_C#

where#h_C# is depth of centroid (midpoint) of the surface

Inserting value of

#P_"ave"=rhog(R+R)=2Rrhog#

Area of the cylinder exposed to pressure

Now

#:."Force"=2Rrhogxx2RL=4R^2rhogL#