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## Homework Statement

A hemispherical portion of radius

**R**is removed from the bottom of a cylinder of radius

**R**. The volume of the remaining cylinder is

**V**and its mass is

**M**. It is suspended by a string in a liquid of density

**ρ**where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is?

## Homework Equations

Force = Pressure x Area

## The Attempt at a Solution

Since the object is in equilibrium, I balanced the 3 forces acting on it.

Weight of the body = Force on the top of the cylinder - Force on the bottom of the cylinder

⇒Mg = ρgh(πR²) - F

*(ignoring atmospheric pressure)*

⇒F = πR²hρg - Mg

But the answer is F = ρg( V + πR²h)

What did I do wrong?