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.
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Here are the solutions for Question 9: 9.1 Calculate the volume of one can of cold drink, rounded to the nearest whole number. Step 1: Determine the radius of the can. The diameter of a can is 6 cm. r = Diameter2 = 6 cm2 = 3 cm Step 2: Use the formula for the volume of a cylinder. Given = 3.142 and height (h) = 8.84 cm. V = r^2 h V = 3.142 × (3 cm)^2 × 8.84 cm V = 3.142 × 9 cm^2 × 8.84 cm V = 28.278 cm^2 × 8.84 cm V = 249.90792 cm^3 Step 3: Round the volume to the nearest whole number. V ≈ 250 cm^3 The volume of one can of cold drink is 250 cm^3. 9.2 Write down the capacity of one can of cold drink in ml. Step 1: Use the conversion factor 1 cm^3 = 1 ml. From 9.1, the volume of one can is 249.90792 cm^3. Capacity = 249.90792 ml Step 2: Round the capacity to the nearest whole number. Capacity ≈ 250 ml The capacity of one can of cold drink is 250 ml. 9.3 Calculate the height of the cooler bag, rounded to the nearest whole number. Step 1: Determine the height of the cooler bag. The problem states that "Two six-pack cans fit exactly on top of each other in the cooler bag." The height of one can is 8.84 cm. Height_cooler bag = 2 × Height_can Height_cooler bag = 2 × 8.84 cm Height_cooler bag = 17.68 cm Step 2: Round the height to the nearest whole number. Height_cooler bag ≈ 18 cm The height of the cooler bag is 18 cm. 9.4 Calculate the height of the cooler bag, rounded to the nearest whole number. This question is identical to 9.3. Step 1: Determine the height of the cooler bag. Height_cooler bag = 2 × 8.84 cm Height_cooler bag = 17.68 cm Step 2: Round the height to the nearest whole number. Height_cooler bag ≈ 18 cm The height of the cooler bag is 18 cm. Last free one today — make it count tomorrow, or type /upgrade for unlimited.