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
You're on a roll — 25.1.1 Step 1: Identify the total number of households and tanks. Total households = 108 Total tanks = 6 Step 2: Calculate how many households share one tank. Households per tank = Total householdsTotal tanks Households per tank = (108)/(6) Households per tank = 18 Each tank is shared by 18 households. 25.1.2 Step 1: Identify the cost of one tank and the total number of tanks. Cost per tank = R4 950.00 Number of tanks = 6 Step 2: Calculate the total cost for all tanks. Total cost = Cost per tank × Number of tanks Total cost = R4950.00 × 6 Total cost = R29700.00 The municipality paid R29 700.00 for the tanks. 25.1.3 Step 1: Identify the diameter and calculate the radius. Diameter = 260 cm Radius r = Diameter2 = 260 cm2 = 130 cm Step 2: Use the given formula for the area of the base and the value of . Area of base = r^2 = 3.142 Step 3: Substitute the values and calculate the area. Area = 3.142 × (130 cm)^2 Area = 3.142 × 16900 cm^2 Area = 53109.8 cm^2 The area of the base of one tank is 53109.8 cm^2. 25.1.4 Step 1: Identify the area of the base (from 25.1.3) and the height of the tank. Area of base = 53109.8 cm^2 Height = 418 cm Step 2: Use the given formula for the volume. Volume = Area × height Step 3: Calculate the volume in cm^3. Volume = 53109.8 cm^2 × 418 cm Volume = 22205892.4 cm^3 Step 4: Convert the volume from cm^3 to m^3. Since 1 m = 100 cm, then 1 m^3 = (100 cm)^3 = 1,000,000 cm^3. Volume in m^3 = 22205892.4 cm^31000000 cm^3/m^3 Volume in m^3 = 22.2058924 m^3 The volume of one tank is approximately 22.21 m^3. 25.1.5 Step 1: Use the volume of one tank in m^3 (from 25.1.4). Volume = 22.2058924 m^3 Step 2: Use the given conversion factor to convert m^3 to litres. 1 m^3 = 1000 L Volume in litres = 22.2058924 m^3 × 1000 L/m^3 Volume in litres = 22205.8924 L The tank will hold approximately 22205.89 L of water. What's next?