A container for water has been made from half of a large cylindrical container. The radius of the circular end is 350mm and the height of the cylindrical is 880mm . Find the maximum amount of water in litres that can be held in a half cylindrical container
To find the maximum amount of water that can be held in a half cylindrical container, we first need to find the volume of the half cylindrical container.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the circular end and h is the height of the cylinder.
In this case, we need to find the volume of half of the cylindrical container. So, we divide the volume of the full cylinder by 2:
V_half = (1/2) * π * (350mm)^2 * 880mm
V_half = 539226817.6 mm^3
To convert the volume to liters, we need to divide by 1000 (since 1 liter is equal to 1000 cubic centimeters):
V_liters = 539226817.6 mm^3 / 1000
V_liters = 539226.818 liters
Therefore, the maximum amount of water that can be held in a half cylindrical container is approximately 539226.818 liters.