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 is the solution to Question 1: 1.1 Matching 1.1.1 A basic shape with three angles and three sides. → D Triangle 1.1.2 A line segment from the centre of the circle to the circle boundary. → F Radius 1.1.3 A device that measures temperature. → A Thermometer 1.1.4 The distance around the 2-dimensional shape. → B Perimeter 1.1.5 A basic geometrical shape with a circular base. → C Cylinder 1.2 Water Tank Calculations 1.2.1 What kind of three-dimensional shape does the tank represent? The tank represents a Cylinder. 1.2.2 Calculate the radius of the water tank. Step 1: Identify the given diameter. The diameter D = 2.4 M. Step 2: Calculate the radius using the formula r = (D)/(2). r = 2.4 M2 r = 1.2 M 1.2.3 Calculate the circumference of the tank. Step 1: Use the radius calculated in 1.2.2 and the given value for . Given r = 1.2 M and = 3.14. Step 2: Apply the formula for circumference C = 2 r. C = 2 × 3.14 × 1.2 M C = 6.28 × 1.2 M C = 7.536 M 1.2.4 Calculate the volume of water in m^3 that the tank can hold if the radius of the dam is 2m and the height is 300cm. Step 1: Identify the given dimensions and convert units if necessary. Given radius r = 2 m. Given height h = 300 cm. Convert height to meters: h = 300 cm × 1 m100 cm = 3 m Use = 3.14. Step 2: Apply the formula for the volume of a cylinder V = r^2 h. V = 3.14 × (2 m)^2 × 3 m V = 3.14 × 4 m^2 × 3 m V = 3.14 × 12 m^3 V = 37.68 m^3 3 done, 2 left today. You're making progress.