A tortoise is just sinking in water of density ρ. The tortoise is assumed to be a hemisphere of radius R.

Let's consider the horizontal and vertical forces,

F_h

and

F_v

, acting on a tortoise. For the horizontal force

F_h

, we understand it as

F_h = \rho g y_C A_v

, where

y_C = R

and

A_v = \pi R^2

. This leads to the calculation

F_h = \rho g \pi R^3

, which acts towards the right. Similarly, the vertical force

F_v

can be derived using

F_v = \rho V g

, where

V

, the volume of the tortoise, is

\frac{2}{3} \pi R^3

. Consequently,

F_v = \frac{2}{3} \rho g \pi R^3

, directed upwards.

A tortoise is just sinking in water of density $ρ$ . The tortoise is assumed to be a hemisphere of radius R.