A tortoise is just sinking in water of density `rho` The tortoise is assumed to be3 a hemisphere of radius `R`.
Q. Find the total hydrostatic force

Options

A. `rhogpiR^(3)`
B. `sqrt((13)/(3))rhogpiR^(3)`
C. `(2)/(3)rhogpiR^(3)`
D. `sqrt((16)/(3))rhogpiR^(3)`

Answer

B

Explanation

Hence the net hydrostatic force on the tortoise is
`F=sqrt(F_(h)^(2)+F_(v)^(2))=sqrt((rhogpiR^(3))^(2)+((2)/(3)rhogpiR^(3))^(2))`
`=sqrt((13)/(3))rhogpiR^3`