Question

Derive mathematically upthrust=Vpg​

Answer 1

Answer:

Mathematical Proof

Upthrust is equal to the weight of the liquid displaced. Consider a solid cylinder of height 'h' and area of cross-section A, to be completely immersed in a fluid of constant density p. FB = h₂pgA – h₁pgA = A(h₂ – h₁)pg = Vpg. V is the volume of cylinder submerged in liquid.