What will it cost to fill 200 cartons with milk, if milk costs R1200 per kilolitre? Assume that you can buy exactly as much milk as is needed (you don't have to purchase a whole kilolitre if you only need 10 litres, for example).
A dairy truck has a cylindrical tank that is used to transport milk. The tank has a radius of 1,5 m and a length of 3 m.
Oh, I see, you asked question above assuming I had seen this one.
volume of tank = pi r^2 L
= pi (2.25)(3) meters cubed
1 kiloliter = 1 meter cubed
However I do NOT know the volume of a carton of milk (perhaps one liter? Perhaps half a liter?)
V=3.142*(1.5)^2*3
What will it costs to fill 200 cartons with milk,if milk costs R1200 per kilolitre?show calculations
To calculate the cost of filling 200 cartons with milk, we need to determine the volume of milk required and then multiply it by the cost per kilolitre.
First, let's calculate the volume of the cylindrical tank that the dairy truck uses to transport milk. The formula for the volume of a cylinder is V = πr²h, where V is volume, r is the radius, and h is the height.
In this case, the radius (r) is 1.5 m and the height (h) is 3 m. So, the volume of the cylindrical tank is:
V = π * (1.5^2) * 3
V ≈ 21.2 m³
Next, let's convert cubic meters to kilolitres since the cost is given per kilolitre. One kilolitre is equal to 1 cubic meter.
So, the volume in kilolitres is:
V(kl) = 21.2 kl
Since we know the cost per kilolitre is R1200, we can multiply the volume in kilolitres by the cost per kilolitre to find the total cost.
Total cost = V(kl) * Cost per kilolitre
Total cost = 21.2 kl * R1200
Total cost = R25,440
Therefore, it will cost R25,440 to fill 200 cartons with milk, assuming a cost of R1200 per kilolitre.