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A municipality supplies water to 108 households. 6 tanks are installed, each costing R4 950.00. The diameter of each tank is 260 cm. Calculate: 25.1.1 households per tank, 25.1.2 total cost of tanks,
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Step-by-step solution
13 steps25.1.1
Identify the total number of households and tanks.
Total households = 108
Total tanks = 6Calculate how many households share one tank.
Each tank is shared by .
25.1.2
Identify the cost of one tank and the total number of tanks.
Cost per tank = R4 950.00
Number of tanks = 6Calculate the total cost for all tanks.
The municipality paid for the tanks.
25.1.3
Identify the diameter and calculate the radius.
Diameter =
RadiusUse the given formula for the area of the base and the value of .
Area of base
Substitute the values and calculate the area.
The area of the base of one tank is .
25.1.4
Identify the area of the base (from 25.1.3) and the height of the tank.
Area of base
HeightUse the given formula for the volume.
Volume = Area height
Calculate the volume in cm.
Convert the volume from cm to m.
Since , then .
The volume of one tank is approximately .
25.1.5
Use the volume of one tank in m (from 25.1.4).
Volume
Use the given conversion factor to convert m to litres.
The tank will hold approximately of water.
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