This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the calculations for the oil drop experiment: Given: Diameter of oil drop, d_drop = 0.05 cm Diameter of circular patch, d_patch = 20 cm b) (i) The volume of the oil drop Step 1: Calculate the radius of the oil drop. r_drop = d_drop2 r_drop = 0.05 cm2 r_drop = 0.025 cm Step 2: Calculate the volume of the oil drop using the formula for the volume of a sphere. V_drop = (4)/(3) r_drop^3 V_drop = (4)/(3) (0.025 cm)^3 V_drop = (4)/(3) (0.000015625 cm^3) V_drop ≈ 6.54 × 10^-5 cm^3 The volume of the oil drop is 6.54 × 10^-5 cm^3. b) (ii) The area of the patch covered by the oil Step 1: Calculate the radius of the circular patch. r_patch = d_patch2 r_patch = 20 cm2 r_patch = 10 cm Step 2: Calculate the area of the patch using the formula for the area of a circle. A_patch = r_patch^2 A_patch = (10 cm)^2 A_patch = 100 cm^2 A_patch ≈ 314.16 cm^2 The area of the patch covered by the oil is 314.16 cm^2. That's 2 down. 3 left today — send the next one.