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 solutions for the questions: 4.3.1 Convert the volume of 215 to cubic centimetres. Step 1: Use the given conversion factor 1 = 1000 cm^3. 215 × 1000 cm^31 = 215000 cm^3 The volume is 215000 cm^3. 4.3.2 Use your answer in 4.3.1 to show that the height of the drum is approximately 101 cm. Step 1: Identify the given values: Volume (V) from 4.3.1 is 215000 cm^3, radius (r) is 26 cm, and = 3.14. Step 2: Use the formula for the volume of a cylinder, V = r^2 h, and rearrange to solve for h. h = (V)/( r^2) Step 3: Substitute the values into the formula. h = 215000 cm^33.14 × (26 cm)^2 h = 215000 cm^33.14 × 676 cm^2 h = 215000 cm^32122.24 cm^2 h ≈ 101.31 cm The height of the drum is approximately 101 cm. 4.3.3 Sfiso wanted to paint the oil drum. Determine the surface area of the oil drum if the entire oil drum must be painted. Write your answer with correct units of measurement. Step 1: Identify the given values: radius (r) is 26 cm, height (h) is 101 cm (from 4.3.2), and = 3.14. Step 2: Use the formula for the surface area of a cylinder, SA = 2 r^2 + 2 rh. SA = (2 × 3.14 × (26 cm)^2) + (2 × 3.14 × 26 cm × 101 cm) SA = (2 × 3.14 × 676 cm^2) + (2 × 3.14 × 2626 cm^2) SA = (4245.28 cm^2) + (16493.44 cm^2) SA = 20738.72 cm^2 The surface area of the oil drum is 20738.72 cm^2. 4.3.4 Calculate the diameter of the tank. Step 1: Identify the given radius (r) as 26 cm. Step 2: Use the formula for diameter, D = 2r. D = 2 × 26 cm D = 52 cm The diameter of the tank is 52 cm. That's 2 down. 3 left today — send the next one.