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
You're on a roll — Step 1: Convert the given dimensions to meters. The radius (r) is 3 cm, and the height (h) is 20 cm. r = 3\, cm = 0.03\, m h = 20\, cm = 0.20\, m Step 2: Calculate the volume of the cylindrical column. The formula for the volume of a cylinder is V = r^2 h. V = (0.03\, m)^2 (0.20\, m) V = (0.0009\, m^2) (0.20\, m) V = 0.00018 \, m^3 V ≈ 0.00056548\, m^3 Step 3: Calculate the mass of the plasticine. The weight (W) is 8.25 N. We use the formula W = m × g, where m is mass and g is the acceleration due to gravity (9.81\, m/s^2). m = (W)/(g) m = 8.25\, N9.81\, m/s^2 m ≈ 0.8409786\, kg Step 4: Calculate the density of the plasticine. The formula for density () is = (m)/(V). = 0.8409786\, kg0.00056548\, m^3 ≈ 1487.25\, kg/m^3 Rounding to three significant figures: ≈ 1490\, kg/m^3 The density of the plasticine is 1490 kg/m^3. Drop the next question.