Question

A tapered pressurized tank for a rocket contains 0.25 m³ of kerosene, with mass 205 kg. The pressure at the top of the kerosene is 2.01 × 10⁵ Pa. The kerosene exerts a force of 16.4 kN on bottom having area 0.07 m². Find the depth of the kerosene.

• A. (a) 2.1 m
• A. (b) 0.29 m
• A. (c) 0.414 m
• A. (d) 4.14 m

Answer 1

(d)

F = (P₀ + ρgh)A

$\left( 2.01 \times 10^{5} + \frac{205}{.25} \times 10 \times h \right).07 = 16.4 \times 10^{3}$

or h = 4.14 m