(a) The diameter of neck and bottom of a bottle are 2 cm and 10 cm respectively. The bottle is completely filled with oil. If the cork in the neck is pressed in with a force of 1.2 kgf, what force is exerted on the bottom of the bottle ? (b) Name the law/principle you have used to find the force in part (a)

Radius of neck (r₁) = 2/2 = 1 cm

Area of neck (A₁) = π (1)² = π cm²

Radius of bottom (r₂) = 10/2 = 5 cm

Area of bottom (A₂) = π (5)² = 25π cm²

⇒ {1.2\over π } = {F_2\over 25π}

⇒ F₂ = {1.2\over π }× 25π = 1.2 × 25 = 30 kgf

Hence, force exerted at the bottom of the neck = 30 kgf.

(b) The Pascal’s law is applied to solve the part (a) which states that the pressure exerted anywhere in a confined liquid is transmitted equally and undiminished in all directions throughout the liquid.

Hence,