This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Find the radius of the tube. Diameter d = 3.8 cm r = (d)/(2) = (3.8)/(2) = 1.9~cm Step 2: Compute r^2 . r^2 = (1.9)^2 = 3.61~cm^2 Step 3: Heights of liquids (from diagram: total height 10 cm, oil layer 4 cm). Height of oil h_oil = 4 cm Height of water h_water = 10 - 4 = 6 cm Step 4: Volume of oil. Formula: V_oil = r^2 h_oil cm³ Substitute: V_oil = × 3.61~cm^2 × 4~cm First, 3.61 × 4 = 14.44 V_oil = × 14.44 = 45.36~cm^3 (using ≈ 3.14 ) Step 5: Volume of water. Formula: V_water = r^2 h_water cm³ Substitute: V_water = × 3.61~cm^2 × 6~cm First, 3.61 × 6 = 21.66 V_water = × 21.66 = 68.05~cm^3 (using ≈ 3.14 ) Final answers: Volume of oil: 45.36~cm^3 Volume of water: 68.05~cm^3