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A cylindrical swimming pool has a diameter of 4.2m and a height of 1.7m. Calculate its volume in litres, given that 1000 cm³ = 1 L.
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3 partsStep-by-step solution
10 stepsHere are the calculations for the swimming pool:
Part a· 4 steps
Calculate how many litres of water will fill the pool if .
Identify the dimensions of the cylindrical pool.
The diameter () is .
The radius () is half of the diameter:The height () is .
Calculate the volume of the cylinder in cubic meters.
The formula for the volume of a cylinder is .
Using :
Convert the volume from cubic meters to cubic centimeters.
We know that , so .
Convert the volume from cubic centimeters to litres.
Given that .
The volume of water that will fill the pool is .
Part b
How many square metres of tiles are needed to tile the inside of the pool?
Determine the areas to be tiled.
The inside of the pool consists of the circular base and the lateral (curved) surface area.
Area of the base () =
Lateral surface area () =
Total area () =Calculate the area of the base.
Calculate the lateral surface area.
Calculate the total area for tiling.
Rounding to two decimal places:
The total area of tiles needed is .
Part c
If the tiles cost R54,99/m, calculate the cost of tiles for the pool.
Use the total area calculated in part (b) and the given cost per square meter.
Total area =
Cost per square meter = RCalculate the total cost.
Rounding to two decimal places for currency:
The cost of tiles for the pool is .
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