Let's begin by finding the radius of the cylindrical vessel:
Radius = Diameter / 2 = 80 cm / 2 = 40 cm
Now, we can find the volume of the cylindrical vessel using the formula:
Volume = π x (Radius)^2 x Height
We know that the volume of the vessel is 400 liters, which is equivalent to 400,000 cubic centimeters. So, we can substitute these values into the formula:
400,000 = π x (40)^2 x Height
Simplifying this equation:
Height = 400,000 / (π x 40^2) ≈ 318.31 cm
Therefore, the height of the vessel is approximately 318.31 cm.
To find the depth of the vessel, we need to remember that the depth is the same as the height. So the depth of the vessel is also approximately 318.31 cm.
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Step-by-step explanation:
Let's begin by finding the radius of the cylindrical vessel:
Radius = Diameter / 2 = 80 cm / 2 = 40 cm
Now, we can find the volume of the cylindrical vessel using the formula:
Volume = π x (Radius)^2 x Height
We know that the volume of the vessel is 400 liters, which is equivalent to 400,000 cubic centimeters. So, we can substitute these values into the formula:
400,000 = π x (40)^2 x Height
Simplifying this equation:
Height = 400,000 / (π x 40^2) ≈ 318.31 cm
Therefore, the height of the vessel is approximately 318.31 cm.
To find the depth of the vessel, we need to remember that the depth is the same as the height. So the depth of the vessel is also approximately 318.31 cm.